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Peral Alonso, Ireneo

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Author ID: peral-alonso.ireneo Recent zbMATH articles by "Peral Alonso, Ireneo"
Published as: Peral, Ireneo; Peral, I.; Peral Alonso, I.; Peral Alonso, Ireneo; Alonso, I. Peral; Alonso, I Peral; Peral, Irened
External Links: MGP · ORCID
Documents Indexed: 144 Publications since 1973, including 2 Books
3 Contributions as Editor · 1 Further Contribution
Biographic References: 1 Publication
Co-Authors: 65 Co-Authors with 136 Joint Publications
1,274 Co-Co-Authors
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Serials

12 Journal of Differential Equations
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Journal of Mathematical Analysis and Applications
5 Calculus of Variations and Partial Differential Equations
5 NoDEA. Nonlinear Differential Equations and Applications
5 Advanced Nonlinear Studies
5 Communications on Pure and Applied Analysis
4 Archive for Rational Mechanics and Analysis
4 Journal of Functional Analysis
4 Communications in Partial Differential Equations
4 Advances in Differential Equations
4 Communications in Contemporary Mathematics
4 Nonlinear Analysis. Theory, Methods & Applications
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
3 Differential and Integral Equations
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Discrete and Continuous Dynamical Systems
2 Nonlinearity
2 Indiana University Mathematics Journal
2 Transactions of the American Mathematical Society
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 SIAM Journal on Mathematical Analysis
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Journal of the European Mathematical Society (JEMS)
2 La Gaceta de la Real Sociedad Matemática Española
1 Applicable Analysis
1 Communications on Pure and Applied Mathematics
1 Mathematical Methods in the Applied Sciences
1 Rocky Mountain Journal of Mathematics
1 Studia Mathematica
1 Advances in Mathematics
1 Collectanea Mathematica
1 Manuscripta Mathematica
1 Le Matematiche
1 Rendiconti del Seminario Matematico della Università di Padova
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 European Journal of Applied Mathematics
1 Mathematica Bohemica
1 Journal of Nonlinear Science
1 Topological Methods in Nonlinear Analysis
1 Electronic Journal of Differential Equations (EJDE)
1 Communications in Applied Analysis
1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica
1 Revista Matemática Complutense
1 Journal of Evolution Equations
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid
1 De Gruyter Series in Nonlinear Analysis and Applications
1 Lecture Notes in Mathematics
1 North-Holland Mathematics Studies
1 Quaderni di Matematica
1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA
1 Advances in Nonlinear Analysis
1 Open Mathematics
1 Mathematics in Engineering

Publications by Year

Citations contained in zbMATH Open

128 Publications have been cited 2,941 times in 2,007 Documents Cited by Year
On \(W^{1,p}\) estimates for elliptic equations in divergence form. Zbl 0906.35030
Caffarelli, L. A.; Peral, I.
265
1998
Hardy inequalities and some critical elliptic and parabolic problems. Zbl 0918.35052
García Azorero, J. P.; Peral Alonso, I.
248
1998
Multiplicity of solutions for elliptic problems with critical exponent or with a nonsymmetric term. Zbl 0729.35051
Garcia Azorero, J.; Peral Alonso, I.
201
1991
Sobolev versus Hölder local minimizers and global multiplicity for some quasilinear elliptic equations. Zbl 0965.35067
García Azorero, J. P.; Peral Alonso, I.
163
2000
Existence and nonuniqueness for the p-Laplacian: Nonlinear eigenvalues. Zbl 0637.35069
García Azorero, J. P.; Peral Alonso, I.
146
1987
Multiplicity results for some nonlinear elliptic equations. Zbl 0852.35045
Ambrosetti, Antonio; Garcia Azorero, Jesus; Peral, Ireneo
132
1996
Perturbation of \(\Delta u+u^{(N+2)/(N-2)}=0\), the scalar curvature problem in \(\mathbb{R}^N\), and related topics. Zbl 0938.35056
Ambrosetti, A.; Garcia Azorero, J.; Peral, I.
90
1999
Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations. Zbl 1332.45009
Leonori, Tommaso; Peral, Ireneo; Primo, Ana; Soria, Fernando
71
2015
Some results about the existence of a second positive solution in a quasilinear critical problem. Zbl 0822.35048
García Azorero, J.; Peral Alonso, I.
62
1994
Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order. Zbl 0841.35036
Bernis, F.; Garcia-Azorero, J.; Peral, I.
60
1996
Existence and nonexistence results for quasilinear elliptic equations involving the \(p\)-Laplacian. Zbl 1118.35010
Abdellaoui, Boumediene; Felli, Veronica; Peral, Ireneo
53
2006
Existence and nonexistence results for quasilinear elliptic equations involving the \(p\)-Laplacian with a critical potential. Zbl 1223.35151
Abdellaoui, Boumediene; Peral, Ireneo
51
2003
On the stability or instability of the singular solution of the semilinear heat equation with exponential reaction term. Zbl 0821.35080
Peral, I.; Vazquez, J. L.
47
1995
A convex-concave problem with a nonlinear boundary condition. Zbl 1065.35122
Garcia-Azorero, J.; Peral, I.; Rossi, J. D.
45
2004
Some remarks on elliptic problems with critical growth in the gradient. Zbl 1357.35089
Abdellaoui, Boumediene; Dall’aglio, Andrea; Peral, Ireneo
45
2006
A Dirichlet problem involving critical exponents. Zbl 0828.35042
Boccardo, Lucio; Escobedo, Miguel; Peral, Ireneo
45
1995
Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential. Zbl 1361.35191
Dipierro, Serena; Montoro, Luigi; Peral, Ireneo; Sciunzi, Bernardino
45
2016
Some remarks on systems of elliptic equations doubly critical in the whole \(\mathbb R^N\). Zbl 1157.35030
Abdellaoui, Boumediene; Felli, Veronica; Peral, Ireneo
44
2009
On quasilinear elliptic equations related to some Caffarelli-Kohn-Nirenberg inequalities. Zbl 1148.35324
Abdellaoui, B.; Peral, I.
39
2003
A Widder’s type theorem for the heat equation with nonlocal diffusion. Zbl 1310.35226
Barrios, Begoña; Peral, Ireneo; Soria, Fernando; Valdinoci, Enrico
38
2014
Semilinear elliptic problems with mixed Dirichlet-Neumann boundary conditions. Zbl 1034.35041
Colorado, E.; Peral, I.
38
2003
Some remarks on the solvability of non-local elliptic problems with the Hardy potential. Zbl 1295.35376
Barrios, B.; Medina, M.; Peral, I.
37
2014
Semilinear problems for the fractional Laplacian with a singular nonlinearity. Zbl 1357.35279
Barrios, Begoña; De Bonis, Ida; Medina, María; Peral, Ireneo
34
2015
Quasilinear problems with exponential growth in the reaction term. Zbl 0804.35037
Azorero, J. Garcia; Alonso, I. Peral; Puel, J. P.
32
1994
Some improved Caffarelli-Kohn-Nirenberg inequalities. Zbl 1207.35114
Abdellaoui, B.; Colorado, E.; Peral, I.
30
2005
The effect of the Hardy potential in some Calderón-Zygmund properties for the fractional Laplacian. Zbl 1386.35422
Abdellaoui, Boumediene; Medina, María; Peral, Ireneo; Primo, Ana
28
2016
Bifurcation results for a fractional elliptic equation with critical exponent in \(\mathbb {R}^n\). Zbl 1377.35262
Dipierro, Serena; Medina, María; Peral, Ireneo; Valdinoci, Enrico
28
2017
Elliptic variational problems in \(\mathbb{R}^N\) with critical growth. Zbl 0979.35050
Ambrosetti, A.; Garcia Azorero, J.; Peral, I.
25
2000
The critical hyperbola for a Hamiltonian elliptic system with weights. Zbl 1223.35177
de Figueiredo, Djairo G.; Peral, Ireneo; Rossi, Julio D.
25
2008
A remark on existence and optimal summability of solutions of elliptic problems involving Hardy potential. Zbl 1387.35119
Boccardo, Lucio; Orsina, Luigi; Peral, Ireneo
25
2006
Some results for semilinear elliptic equations with critical potential. Zbl 1014.35023
Abdellaoui, B.; Peral, I.
24
2002
The Neumann problem for the \(\infty\)-Laplacian and the Monge–Kantorovich mass transfer problem. Zbl 1387.35286
García-Azorero, J.; Manfredi, J. J.; Peral, I.; Rossi, J. D.
23
2007
Global behavior of the Cauchy problem for some critical nonlinear parabolic equations. Zbl 0979.35088
Aguilar Crespo, J. A.; Peral Alonso, I.
22
2000
On limits of solutions of elliptic problems with nearly critical exponent. Zbl 0799.35066
Garcia Azorero, J.; Peral Alonso, I.
22
1992
Eigenvalues and bifurcation for elliptic equations with mixed Dirichlet-Neumann boundary conditions related to Caffarelli-Kohn-Nirenberg inequalities. Zbl 1075.35014
Colorado, Eduardo; Peral, Irened
21
2004
On an Emden-Fowler type equation. Zbl 0781.35021
Azorero, J. García; Alonso, I. Peral
21
1992
Comportement asymptotique des valeurs propres du p-laplacien. (Asymptotic behaviour of the eigenvalues of the p-Laplacian). Zbl 0683.35067
Garcia Azorero, Jesús; Peral Alonso, Ireneo
21
1988
Existence and multiplicity for perturbations of an equation involving a Hardy inequality and the critical Sobolev exponent in the whole of \(\mathbb R^N\). Zbl 1220.35041
Abdellaoui, B.; Peral, I.; Felli, V.
20
2004
Optimal results for the fractional heat equation involving the Hardy potential. Zbl 1383.35238
Abdellaoui, Boumediene; Medina, María; Peral, Ireneo; Primo, Ana
20
2016
Some remarks about the summability of nonlocal nonlinear problems. Zbl 1357.49021
Barrios, Begoña; Peral, Ireneo; Vita, Stefano
19
2015
Existence and multiplicity results for some nonlinear elliptic equations: A survey. Zbl 1011.35049
Ambrosetti, A.; Garcia-Azorero, J.; Peral, I.
18
2000
Elliptic problems with a Hardy potential and critical growth in the gradient: non-resonance and blow-up results. Zbl 1331.35128
Abdellaoui, Boumediene; Peral, Ireneo; Primo, Ana
18
2007
Nonlinear elliptic problems with a singular weight on the boundary. Zbl 1232.35048
Dávila, Juan; Peral, Ireneo
16
2011
On fractional \(p\)-Laplacian parabolic problem with general data. Zbl 1392.35184
Abdellaoui, B.; Attar, A.; Bentifour, R.; Peral, I.
15
2018
Regularity and nonuniqueness results for parabolic problems arising in some physical models, having natural growth in the gradient. Zbl 1166.35026
Abdellaoui, Boumediene; Dall’Aglio, Andrea; Peral, Ireneo
15
2008
Limit branch of solutions as \(p\to \infty\) for a family of sub-diffusive problems related to the \(p\)-Laplacian. Zbl 1132.35033
Charro, Fernando; Peral, Ireneo
14
2007
Existence and nonexistence results for a class of linear and semilinear parabolic equations related to some Caffarelli-Kohn-Nirenberg inequalities. Zbl 1059.35062
Abdellaoui, B.; Colorado, E.; Peral, I.
13
2004
Multiplicity of solutions to uniformly elliptic fully nonlinear equations with concave-convex right-hand side. Zbl 1171.35049
Charro, Fernando; Colorado, Eduardo; Peral, Ireneo
13
2009
Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian. Zbl 1406.35114
Escudero, Carlos; Gazzola, Filippo; Peral, Ireneo
13
2015
A borderline case in elliptic problems involving weights of Caffarelli-Kohn-Nirenberg type. Zbl 1387.35224
García-Azorero, J.; Peral, I.; Primo, A.
13
2007
Results on parabolic equations related to some Caffarelli-Kohn-Nirenberg inequalities. Zbl 1078.35056
Dall’Aglio, Andrea; Giachetti, Daniela; Peral, Ireneo
12
2004
Influence of the Hardy potential in a semilinear heat equation. Zbl 1191.35157
Abdellaoui, Boumediene; Peral, Ireneo; Primo, Ana
12
2009
Quasilinear equations with a multiple bifurcation. Zbl 0879.35021
Ambrosetti, A.; Azorero, J. G.; Peral, I.
11
1997
Some fourth order nonlinear elliptic problems related to epitaxial growth. Zbl 1284.35435
Escudero, Carlos; Peral, Ireneo
11
2013
Elliptic problems with nonlinear terms depending on the gradient and singular on the boundary. Zbl 1208.35059
Abdellaoui, Boumediene; Giachetti, Daniela; Peral, Ireneo; Walias, Magdalena
11
2011
Breaking of resonance and regularizing effect of a first order quasi-linear term in some elliptic equations. Zbl 1156.35036
Abdellaoui, Boumediene; Peral, Ireneo; Primo, Ana
11
2008
Concentration of solutions for some singularly perturbed mixed problems: asymptotics of minimal energy solutions. Zbl 1194.35037
Azorero, Jesus Garcia; Malchiodi, Andrea; Montoro, Luigi; Peral, Ireneo
11
2010
Some results on quasilinear elliptic equations: Growth versus shape. Zbl 0955.35030
Peral, I.
10
1998
A remark on the fractional Hardy inequality with a remainder term. (Une remarque sur l’inégalité de Hardy fractionnaire avec reste.) Zbl 1295.26018
Abdellaoui, Boumediene; Peral, Ireneo; Primo, Ana
10
2014
On radial stationary solutions to a model of non-equilibrium growth. Zbl 1266.91051
Escudero, Carlos; Hakl, Robert; Peral, Ireneo; Torres, Pedro J.
10
2013
On the Aleksandrov-Bakel’man-Pucci estimate for some elliptic and parabolic nonlinear operators. Zbl 1257.35085
Argiolas, Roberto; Charro, Fernando; Peral, Ireneo
10
2011
Hölder regularity and Harnack inequality for degenerate parabolic equations related to Caffarelli-Kohn-Nirenberg inequalities. Zbl 1053.35070
Abdellaoui, B.; Alonso, I. Peral
10
2004
Concentration of solutions for some singularly perturbed mixed problems: existence results. Zbl 1214.35024
Azorero, Jesus Garcia; Malchiodi, Andrea; Montoro, Luigi; Peral, Ireneo
10
2010
Some remarks on elliptic equations with singular potentials and mixed boundary conditions. Zbl 1237.35072
Abdellaoui, Boumediene; Colorado, Eduardo; Peral, Ireneo
9
2004
Existence and qualitative properties of solutions to a quasilinear elliptic equation involving the Hardy-Leray potential. Zbl 1291.35082
Merchán, Susana; Montoro, Luigi; Peral, Ireneo; Sciunzi, Berardino
9
2014
Remarks on a class of semilinear elliptic equations on \(\mathbb{R}^n\), via perturbation methods. Zbl 1001.35038
Ambrosetti, A.; Garcia Azorero, J.; Peral, I.
9
2001
Steklov eigenvalues for the \(\infty\)-Laplacian. Zbl 1114.35072
Garcia Azorero, Jesus; Manfredi, Juan J.; Peral, Ireneo; Rossi, Julio D.
9
2006
Effect of the boundary conditions in the behavior of the optimal constant of some Caffarelli-Kohn-Nirenberg inequalities. Application to some doubly critical nonlinear elliptic problems. Zbl 1176.46035
Abdellaoui, B.; Colorado, E.; Peral, I.
9
2006
Zero order perturbations to fully nonlinear equations: comparison, existence and uniqueness. Zbl 1179.35119
Charro, Fernando; Peral, Ireneo
9
2009
The equation \(-\Delta u-\lambda\frac{u}{x^2}=|\nabla u|^p+cf(x)\): the optimal power. Zbl 1181.35080
Abdellaoui, Boumediene; Peral, Ireneo
8
2007
Towards a deterministic KPZ equation with fractional diffusion: the stationary problem. Zbl 1390.35392
Abdellaoui, Boumediene; Peral, Ireneo
8
2018
The \(N\)-Laplacian elliptic equation: Variational versus entropy solutions. Zbl 0866.35038
Boccardo, L.; Peral, I.; Vazquez, J. L.
7
1996
On an elliptic equation with exponential growth. Zbl 0887.35055
Aguilar Crespo, J. A.; Peral Alonso, I.
7
1996
Blow-up behavior for solutions of \(-\Delta_ N u=V(x)e^ u\) in bounded domains in \(\mathbb{R}^ N\). Zbl 0885.35035
Aguilar Crespo, J. A.; Alonso, I. Peral
7
1997
Existence and nonexistence results for a singular boundary value problem arising in the theory of epitaxial growth. Zbl 1375.34037
Escudero, Carlos; Hakl, Robert; Peral, Ireneo; Torres, Pedro J.
7
2014
The effect of Harnack inequality on the existence and nonexistence results for quasi-linear parabolic equations related to Caffarelli-Kohn-Nirenberg inequalities. Zbl 1138.35046
Abdellaoui, B.; Peral Alonso, I.
7
2007
A remark on the existence properties of a semilinear heat equation involving a Hardy-Leray potential. Zbl 1319.35107
Attar, Ahmed; Merchán, Susana; Peral, Ireneo
6
2015
Optimal results for parabolic problems arising in some physical models with critical growth in the gradient respect to a Hardy potential. Zbl 1213.35127
Abdellaoui, Boumediene; Peral, Ireneo; Primo, Ana
6
2010
Existence results for semilinear elliptic equations with some lack of coercivity. Zbl 1170.35044
Mercaldo, A.; Peral, I.
6
2008
Results for degenerate nonlinear elliptic equations involving a Hardy potential. Zbl 1229.35093
Mercaldo, Anna; Peral, Ireneo; Primo, Ana
6
2011
Quasilinear elliptic equations with natural growth. Zbl 1212.35078
Abdellaoui, Boumediene; Boccardo, Lucio; Peral, Ireneo; Primo, Ana
5
2007
Corrigendum to “Some remarks on elliptic problems with critical growth in the gradient” [J. Differential equations 222 (2006) 21-62]. Zbl 1168.35329
Abdellaoui, Boumediene; Dall’aglio, Andrea; Peral, Ireneo
5
2009
Existence results for a fourth order partial differential equation arising in condensed matter physics. Zbl 1363.35080
Escudero, Carlos; Gazzola, Filippo; Hakl, Robert; Peral, Ireneo; Torres, Pedro José
5
2015
Some existence and regularity results for porous media and fast diffusion equations with a gradient term. Zbl 1316.35147
Abdellaoui, Boumediene; Peral, Ireneo; Walias, Magdalena
4
2015
A note on \(W^{1,p}\) estimates for quasilinear parabolic equations. Zbl 1025.35007
Peral, Ireneo; Soria, Fernando
4
2002
On a fractional quasilinear parabolic problem: the influence of the Hardy potential. Zbl 1397.35140
Abdellaoui, Boumediene; Attar, Ahmed; Bentifour, Rachid; Peral, Ireneo
4
2018
Strong regularizing effect of a gradient term in the heat equation with the Hardy potential. Zbl 1191.35162
Abdellaoui, Boumediene; Peral, Ireneo; Primo, Ana
4
2010
Some critical quasilinear elliptic problems with mixed Dirichlet-Neumann boundary conditions: relation with Sobolev and Hardy-Sobolev optimal constants. Zbl 1166.35020
Abdellaoui, B.; Colorado, E.; Peral, I.
4
2007
Principal eigenvalue of mixed problem for the fractional Laplacian: moving the boundary conditions. Zbl 1401.35077
Leonori, Tommaso; Medina, Maria; Peral, Ireneo; Primo, Ana; Soria, Fernando
4
2018
Bifurcation for the \(p\)-Laplacian in \(\mathbb{R}^N\). Zbl 1004.35042
García Azorero, J.; Montefusco, E.; Peral, I.
3
2000
Positive radial solutions of quasilinear equations involving supercritical growth. Zbl 0912.35066
Aguilar, Juan Antonio; Peral, Ireneo
3
1998
Some remarks on bifurcation. Zbl 1161.35314
García Azorero, Jesús; Peral, Ireneo
3
2003
Homogenization of quasilinear parabolic equations in periodic media. Zbl 1073.35022
García-Azorero, J.; Gutiérrez, C. E.; Peral, I.
3
2003
Remarks on the solvability of an elliptic equation with a supercritical term involving the Hardy-Leray potential. Zbl 1248.35081
Merchán, Susana; Peral, Ireneo
3
2012
An a priori estimate for the \(N\)-Laplacian. Zbl 0804.35044
Aguilar, Juan Antonio; Peral, Ireneo
3
1994
A remark on perturbed elliptic equations of Caffarelli-Kohn-Nirenberg type. Zbl 1170.35391
Abdellaoui, Boumediene; Felli, Veronica; Peral, Ireneo
3
2005
Global existence for some slightly super-linear parabolic equations with measure data. Zbl 1144.35031
Dall’Aglio, Andrea; Giachetti, Daniela; Peral, Ireneo; de León, Sergio Segura
3
2008
A note on a critical problem with natural growth in the gradient. Zbl 1245.35032
Abdellaoui, B.; Peral Alonso, I.
3
2006
Multiplicity results for porous media and fast diffusion equations with a quadratic gradient term. Zbl 1316.35130
Abdellaoui, Boumediene; Peral, Ireneo; Walias, Magdalena
3
2013
Global existence for nonlinear parabolic problems with measure data-applications to non-uniqueness for parabolic problems with critical gradient terms. Zbl 1234.35138
Abdellaoui, Boumediene; Dall’Aglio, Andrea; Peral, Ireneo; Segura de León, Sergio
3
2011
Elliptic and parabolic equations involving the Hardy-Leray potential. Zbl 07279829
Peral Alonso, Ireneo; Soria de Diego, Fernando
3
2021
Neumann conditions for the higher order \(s\)-fractional Laplacian \(( - \varDelta)^s u\) with \(s > 1\). Zbl 1439.35520
Barrios, Begoña; Montoro, Luigi; Peral, Ireneo; Soria, Fernando
2
2020
Fractional KPZ equations with critical growth in the gradient respect to Hardy potential. Zbl 07249024
Abdellaoui, Boumediene; Peral, Ireneo; Primo, Ana; Soria, Fernando
2
2020
Corrigendum to: “Towards a deterministic KPZ equation with fractional diffusion: the stationary problem”. Zbl 1430.35242
Abdellaoui, B.; Peral, I.
1
2020
On fractional \(p\)-Laplacian parabolic problem with general data. Zbl 1392.35184
Abdellaoui, B.; Attar, A.; Bentifour, R.; Peral, I.
15
2018
Towards a deterministic KPZ equation with fractional diffusion: the stationary problem. Zbl 1390.35392
Abdellaoui, Boumediene; Peral, Ireneo
8
2018
On a fractional quasilinear parabolic problem: the influence of the Hardy potential. Zbl 1397.35140
Abdellaoui, Boumediene; Attar, Ahmed; Bentifour, Rachid; Peral, Ireneo
4
2018
Principal eigenvalue of mixed problem for the fractional Laplacian: moving the boundary conditions. Zbl 1401.35077
Leonori, Tommaso; Medina, Maria; Peral, Ireneo; Primo, Ana; Soria, Fernando
4
2018
On some elliptic and parabolic equations related to growth models. Zbl 1411.35005
Peral, Ireneo
2
2018
Bifurcation results for a fractional elliptic equation with critical exponent in \(\mathbb {R}^n\). Zbl 1377.35262
Dipierro, Serena; Medina, María; Peral, Ireneo; Valdinoci, Enrico
28
2017
Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential. Zbl 1361.35191
Dipierro, Serena; Montoro, Luigi; Peral, Ireneo; Sciunzi, Bernardino
45
2016
The effect of the Hardy potential in some Calderón-Zygmund properties for the fractional Laplacian. Zbl 1386.35422
Abdellaoui, Boumediene; Medina, María; Peral, Ireneo; Primo, Ana
28
2016
Optimal results for the fractional heat equation involving the Hardy potential. Zbl 1383.35238
Abdellaoui, Boumediene; Medina, María; Peral, Ireneo; Primo, Ana
20
2016
Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations. Zbl 1332.45009
Leonori, Tommaso; Peral, Ireneo; Primo, Ana; Soria, Fernando
71
2015
Semilinear problems for the fractional Laplacian with a singular nonlinearity. Zbl 1357.35279
Barrios, Begoña; De Bonis, Ida; Medina, María; Peral, Ireneo
34
2015
Some remarks about the summability of nonlocal nonlinear problems. Zbl 1357.49021
Barrios, Begoña; Peral, Ireneo; Vita, Stefano
19
2015
Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian. Zbl 1406.35114
Escudero, Carlos; Gazzola, Filippo; Peral, Ireneo
13
2015
A remark on the existence properties of a semilinear heat equation involving a Hardy-Leray potential. Zbl 1319.35107
Attar, Ahmed; Merchán, Susana; Peral, Ireneo
6
2015
Existence results for a fourth order partial differential equation arising in condensed matter physics. Zbl 1363.35080
Escudero, Carlos; Gazzola, Filippo; Hakl, Robert; Peral, Ireneo; Torres, Pedro José
5
2015
Some existence and regularity results for porous media and fast diffusion equations with a gradient term. Zbl 1316.35147
Abdellaoui, Boumediene; Peral, Ireneo; Walias, Magdalena
4
2015
Optimal reaction exponent for some qualitative properties of solutions to the \(p\)-heat equation. Zbl 1321.35095
Merchán, Susana; Montoro, Luigi; Peral, I.
2
2015
A Widder’s type theorem for the heat equation with nonlocal diffusion. Zbl 1310.35226
Barrios, Begoña; Peral, Ireneo; Soria, Fernando; Valdinoci, Enrico
38
2014
Some remarks on the solvability of non-local elliptic problems with the Hardy potential. Zbl 1295.35376
Barrios, B.; Medina, M.; Peral, I.
37
2014
A remark on the fractional Hardy inequality with a remainder term. (Une remarque sur l’inégalité de Hardy fractionnaire avec reste.) Zbl 1295.26018
Abdellaoui, Boumediene; Peral, Ireneo; Primo, Ana
10
2014
Existence and qualitative properties of solutions to a quasilinear elliptic equation involving the Hardy-Leray potential. Zbl 1291.35082
Merchán, Susana; Montoro, Luigi; Peral, Ireneo; Sciunzi, Berardino
9
2014
Existence and nonexistence results for a singular boundary value problem arising in the theory of epitaxial growth. Zbl 1375.34037
Escudero, Carlos; Hakl, Robert; Peral, Ireneo; Torres, Pedro J.
7
2014
Some remarks on quasilinear parabolic problems with singular potential and a reaction term. Zbl 1297.35118
Abdellaoui, Boumediene; Miri, Sofiane E. H.; Peral, Ireneo; Touaoula, Tarik M.
2
2014
Biharmonic elliptic problems involving the 2nd Hessian operator. Zbl 1305.35048
Ferrari, Fausto; Medina, Maria; Peral, Ireneo
2
2014
Effect of a gradient term on the solvability of the heat equation with a supercritical reaction with respect to the Hardy potential. Zbl 1304.35684
Abdellaoui, Boumediene; Attar, Ahmed; Merchán, Susana; Peral, Ireneo
1
2014
Elliptic problems with nonlinear terms depending on the gradient and singular on the boundary: interaction with a Hardy-Leray potential. Zbl 1280.35045
Abdellaoui, Boumediene; Giachetti, Daniela; Peral, Ireneo; Walias, Magdalena
1
2014
Some fourth order nonlinear elliptic problems related to epitaxial growth. Zbl 1284.35435
Escudero, Carlos; Peral, Ireneo
11
2013
On radial stationary solutions to a model of non-equilibrium growth. Zbl 1266.91051
Escudero, Carlos; Hakl, Robert; Peral, Ireneo; Torres, Pedro J.
10
2013
Multiplicity results for porous media and fast diffusion equations with a quadratic gradient term. Zbl 1316.35130
Abdellaoui, Boumediene; Peral, Ireneo; Walias, Magdalena
3
2013
Remarks on the solvability of an elliptic equation with a supercritical term involving the Hardy-Leray potential. Zbl 1248.35081
Merchán, Susana; Peral, Ireneo
3
2012
Limits as \(p\to \infty \) of \(p\)-Laplacian concave-convex problems. Zbl 1244.35048
Charro, Fernando; Peral, Ireneo
2
2012
Beyond the mountain pass: some applications. Zbl 1266.35069
Peral, Ireneo
1
2012
Nonlinear elliptic problems with a singular weight on the boundary. Zbl 1232.35048
Dávila, Juan; Peral, Ireneo
16
2011
Elliptic problems with nonlinear terms depending on the gradient and singular on the boundary. Zbl 1208.35059
Abdellaoui, Boumediene; Giachetti, Daniela; Peral, Ireneo; Walias, Magdalena
11
2011
On the Aleksandrov-Bakel’man-Pucci estimate for some elliptic and parabolic nonlinear operators. Zbl 1257.35085
Argiolas, Roberto; Charro, Fernando; Peral, Ireneo
10
2011
Results for degenerate nonlinear elliptic equations involving a Hardy potential. Zbl 1229.35093
Mercaldo, Anna; Peral, Ireneo; Primo, Ana
6
2011
Global existence for nonlinear parabolic problems with measure data-applications to non-uniqueness for parabolic problems with critical gradient terms. Zbl 1234.35138
Abdellaoui, Boumediene; Dall’Aglio, Andrea; Peral, Ireneo; Segura de León, Sergio
3
2011
Propagation failure along myelinated nerves. Zbl 1227.92014
Carpio, A.; Peral, I.
2
2011
Breaking of resonance for elliptic problems with strong degeneration at infinity. Zbl 1247.35019
Della Pietra, Francesco; Peral, Ireneo
1
2011
Concentration of solutions for some singularly perturbed mixed problems: asymptotics of minimal energy solutions. Zbl 1194.35037
Azorero, Jesus Garcia; Malchiodi, Andrea; Montoro, Luigi; Peral, Ireneo
11
2010
Concentration of solutions for some singularly perturbed mixed problems: existence results. Zbl 1214.35024
Azorero, Jesus Garcia; Malchiodi, Andrea; Montoro, Luigi; Peral, Ireneo
10
2010
Optimal results for parabolic problems arising in some physical models with critical growth in the gradient respect to a Hardy potential. Zbl 1213.35127
Abdellaoui, Boumediene; Peral, Ireneo; Primo, Ana
6
2010
Strong regularizing effect of a gradient term in the heat equation with the Hardy potential. Zbl 1191.35162
Abdellaoui, Boumediene; Peral, Ireneo; Primo, Ana
4
2010
On an eigenvalue problem involving the Hardy potential. Zbl 1213.35328
Chabrowski, J.; Peral, I.; Ruf, B.
1
2010
Some remarks on systems of elliptic equations doubly critical in the whole \(\mathbb R^N\). Zbl 1157.35030
Abdellaoui, Boumediene; Felli, Veronica; Peral, Ireneo
44
2009
Multiplicity of solutions to uniformly elliptic fully nonlinear equations with concave-convex right-hand side. Zbl 1171.35049
Charro, Fernando; Colorado, Eduardo; Peral, Ireneo
13
2009
Influence of the Hardy potential in a semilinear heat equation. Zbl 1191.35157
Abdellaoui, Boumediene; Peral, Ireneo; Primo, Ana
12
2009
Zero order perturbations to fully nonlinear equations: comparison, existence and uniqueness. Zbl 1179.35119
Charro, Fernando; Peral, Ireneo
9
2009
Corrigendum to “Some remarks on elliptic problems with critical growth in the gradient” [J. Differential equations 222 (2006) 21-62]. Zbl 1168.35329
Abdellaoui, Boumediene; Dall’aglio, Andrea; Peral, Ireneo
5
2009
The limit as \(p \rightarrow \infty\) for the \(p\)-Laplacian with mixed boundary conditions and the mass transport problem through a given window. Zbl 1186.35078
García-Azorero, Jesús; Manfredi, Juan J.; Peral, Ireneo; Rossi, J. D.
2
2009
The critical hyperbola for a Hamiltonian elliptic system with weights. Zbl 1223.35177
de Figueiredo, Djairo G.; Peral, Ireneo; Rossi, Julio D.
25
2008
Regularity and nonuniqueness results for parabolic problems arising in some physical models, having natural growth in the gradient. Zbl 1166.35026
Abdellaoui, Boumediene; Dall’Aglio, Andrea; Peral, Ireneo
15
2008
Breaking of resonance and regularizing effect of a first order quasi-linear term in some elliptic equations. Zbl 1156.35036
Abdellaoui, Boumediene; Peral, Ireneo; Primo, Ana
11
2008
Existence results for semilinear elliptic equations with some lack of coercivity. Zbl 1170.35044
Mercaldo, A.; Peral, I.
6
2008
Global existence for some slightly super-linear parabolic equations with measure data. Zbl 1144.35031
Dall’Aglio, Andrea; Giachetti, Daniela; Peral, Ireneo; de León, Sergio Segura
3
2008
Limits for Monte-Kantorovich mass transport problems. Zbl 1159.35029
Azorero, Jesus Garcia; Manfredi, Juan J.; Peral, Ireneo; Rossi, Julio D.
2
2008
Neumann boundary conditions for the infinity Laplacian and the Monge-Kantorovich mass transport problem. Zbl 1244.35050
Garcia-Azorero, Jesús; Manfredi, Juan J.; Peral, Ireneo; Rossi, Julio D.
1
2008
The Neumann problem for the \(\infty\)-Laplacian and the Monge–Kantorovich mass transfer problem. Zbl 1387.35286
García-Azorero, J.; Manfredi, J. J.; Peral, I.; Rossi, J. D.
23
2007
Elliptic problems with a Hardy potential and critical growth in the gradient: non-resonance and blow-up results. Zbl 1331.35128
Abdellaoui, Boumediene; Peral, Ireneo; Primo, Ana
18
2007
Limit branch of solutions as \(p\to \infty\) for a family of sub-diffusive problems related to the \(p\)-Laplacian. Zbl 1132.35033
Charro, Fernando; Peral, Ireneo
14
2007
A borderline case in elliptic problems involving weights of Caffarelli-Kohn-Nirenberg type. Zbl 1387.35224
García-Azorero, J.; Peral, I.; Primo, A.
13
2007
The equation \(-\Delta u-\lambda\frac{u}{x^2}=|\nabla u|^p+cf(x)\): the optimal power. Zbl 1181.35080
Abdellaoui, Boumediene; Peral, Ireneo
8
2007
The effect of Harnack inequality on the existence and nonexistence results for quasi-linear parabolic equations related to Caffarelli-Kohn-Nirenberg inequalities. Zbl 1138.35046
Abdellaoui, B.; Peral Alonso, I.
7
2007
Quasilinear elliptic equations with natural growth. Zbl 1212.35078
Abdellaoui, Boumediene; Boccardo, Lucio; Peral, Ireneo; Primo, Ana
5
2007
Some critical quasilinear elliptic problems with mixed Dirichlet-Neumann boundary conditions: relation with Sobolev and Hardy-Sobolev optimal constants. Zbl 1166.35020
Abdellaoui, B.; Colorado, E.; Peral, I.
4
2007
Existence and nonexistence results for quasilinear elliptic equations involving the \(p\)-Laplacian. Zbl 1118.35010
Abdellaoui, Boumediene; Felli, Veronica; Peral, Ireneo
53
2006
Some remarks on elliptic problems with critical growth in the gradient. Zbl 1357.35089
Abdellaoui, Boumediene; Dall’aglio, Andrea; Peral, Ireneo
45
2006
A remark on existence and optimal summability of solutions of elliptic problems involving Hardy potential. Zbl 1387.35119
Boccardo, Lucio; Orsina, Luigi; Peral, Ireneo
25
2006
Steklov eigenvalues for the \(\infty\)-Laplacian. Zbl 1114.35072
Garcia Azorero, Jesus; Manfredi, Juan J.; Peral, Ireneo; Rossi, Julio D.
9
2006
Effect of the boundary conditions in the behavior of the optimal constant of some Caffarelli-Kohn-Nirenberg inequalities. Application to some doubly critical nonlinear elliptic problems. Zbl 1176.46035
Abdellaoui, B.; Colorado, E.; Peral, I.
9
2006
A note on a critical problem with natural growth in the gradient. Zbl 1245.35032
Abdellaoui, B.; Peral Alonso, I.
3
2006
Competition reaction-absorption in some elliptic and parabolic problems related to the Caffarelli-Kohn-Nirenberg inequalities. Zbl 1330.35107
Abdellaoui, Boumediene; Peral, Ireneo
2
2006
Existence and nonexistence results for a class of parabolic equations with mixed boundary conditions. Zbl 1141.35038
Abdellaoui, B.; Colorado, E.; Peral, I.
2
2006
Some improved Caffarelli-Kohn-Nirenberg inequalities. Zbl 1207.35114
Abdellaoui, B.; Colorado, E.; Peral, I.
30
2005
A remark on perturbed elliptic equations of Caffarelli-Kohn-Nirenberg type. Zbl 1170.35391
Abdellaoui, Boumediene; Felli, Veronica; Peral, Ireneo
3
2005
Some results for elliptic eigenvalue problems with moving mixed boundary conditions. Zbl 1104.35022
Colorado, E.; Peral, I.
2
2005
A convex-concave problem with a nonlinear boundary condition. Zbl 1065.35122
Garcia-Azorero, J.; Peral, I.; Rossi, J. D.
45
2004
Eigenvalues and bifurcation for elliptic equations with mixed Dirichlet-Neumann boundary conditions related to Caffarelli-Kohn-Nirenberg inequalities. Zbl 1075.35014
Colorado, Eduardo; Peral, Irened
21
2004
Existence and multiplicity for perturbations of an equation involving a Hardy inequality and the critical Sobolev exponent in the whole of \(\mathbb R^N\). Zbl 1220.35041
Abdellaoui, B.; Peral, I.; Felli, V.
20
2004
Existence and nonexistence results for a class of linear and semilinear parabolic equations related to some Caffarelli-Kohn-Nirenberg inequalities. Zbl 1059.35062
Abdellaoui, B.; Colorado, E.; Peral, I.
13
2004
Results on parabolic equations related to some Caffarelli-Kohn-Nirenberg inequalities. Zbl 1078.35056
Dall’Aglio, Andrea; Giachetti, Daniela; Peral, Ireneo
12
2004
Hölder regularity and Harnack inequality for degenerate parabolic equations related to Caffarelli-Kohn-Nirenberg inequalities. Zbl 1053.35070
Abdellaoui, B.; Alonso, I. Peral
10
2004
Some remarks on elliptic equations with singular potentials and mixed boundary conditions. Zbl 1237.35072
Abdellaoui, Boumediene; Colorado, Eduardo; Peral, Ireneo
9
2004
Existence and nonexistence results for quasilinear elliptic equations involving the \(p\)-Laplacian with a critical potential. Zbl 1223.35151
Abdellaoui, Boumediene; Peral, Ireneo
51
2003
On quasilinear elliptic equations related to some Caffarelli-Kohn-Nirenberg inequalities. Zbl 1148.35324
Abdellaoui, B.; Peral, I.
39
2003
Semilinear elliptic problems with mixed Dirichlet-Neumann boundary conditions. Zbl 1034.35041
Colorado, E.; Peral, I.
38
2003
Some remarks on bifurcation. Zbl 1161.35314
García Azorero, Jesús; Peral, Ireneo
3
2003
Homogenization of quasilinear parabolic equations in periodic media. Zbl 1073.35022
García-Azorero, J.; Gutiérrez, C. E.; Peral, I.
3
2003
Some results for semilinear elliptic equations with critical potential. Zbl 1014.35023
Abdellaoui, B.; Peral, I.
24
2002
A note on \(W^{1,p}\) estimates for quasilinear parabolic equations. Zbl 1025.35007
Peral, Ireneo; Soria, Fernando
4
2002
Remarks on a class of semilinear elliptic equations on \(\mathbb{R}^n\), via perturbation methods. Zbl 1001.35038
Ambrosetti, A.; Garcia Azorero, J.; Peral, I.
9
2001
A harmonic analysis theorem and applications to homogenization. Zbl 1022.43002
Gutiérrez, Cristian E.; Peral, Ireneo
2
2001
Local existence results for sub-super-critical elliptic problems. Zbl 1085.35511
Arcoya, David; Gámez, José Luis; Orsina, Luigi; Peral, Ireneo
2
2001
Sobolev versus Hölder local minimizers and global multiplicity for some quasilinear elliptic equations. Zbl 0965.35067
García Azorero, J. P.; Peral Alonso, I.
163
2000
Elliptic variational problems in \(\mathbb{R}^N\) with critical growth. Zbl 0979.35050
Ambrosetti, A.; Garcia Azorero, J.; Peral, I.
25
2000
Global behavior of the Cauchy problem for some critical nonlinear parabolic equations. Zbl 0979.35088
Aguilar Crespo, J. A.; Peral Alonso, I.
22
2000
...and 28 more Documents
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Cited by 1,655 Authors

86 Papageorgiou, Nikolaos S.
72 Peral Alonso, Ireneo
50 Abdellaoui, Boumediene
44 Byun, Sun-Sig
44 Kang, Dongsheng
33 Rossi, Julio Daniel
30 Rădulescu, Vicenţiu D.
28 Miyagaki, Olimpio Hiroshi
23 Primo, Ana R. M.
21 Alves, Claudianor Oliveira
21 Sreenadh, Konijeti
19 Peng, Shuangjie
18 Montoro, Luigi
18 Wang, Lihe
17 Yao, Fengping
16 Colorado, Eduardo
16 Felli, Veronica
16 Guo, Yuxia
16 Niu, Pengcheng
15 Hsu, TsingSan
15 Wu, Tsungfang
14 Figueiredo, Giovany Malcher
14 Furtado, Marcelo Fernandes
14 Garcia-Azorero, Jesús
13 Mingione, Giuseppe
13 Vazquez, Juan Luis
13 Zheng, Shenzhou
13 Zou, Wenming
12 Deng, Yinbin
12 Gasiński, Leszek
12 Giacomoni, Jacques
12 Huang, Yisheng
12 Leonori, Tommaso
12 Malchiodi, Andrea
12 Pucci, Patrizia
12 Squassina, Marco
11 Barrios Barrera, Begoña
11 Charro, Fernando
11 Do Ó, João M. Bezerra
11 Fernández Bonder, Julián
11 Medina, Maria
11 Motreanu, Dumitru
11 Nguyen Cong Phuc
11 Phan, Tuoc Van
11 Repovš, Dušan D.
11 Saoudi, Kamel
10 Attar, Ahmed
10 Cao, Daomin
10 Carrião, Paulo Cesar
10 Dong, Hongjie
10 Han, Pigong
10 Ok, Jihoon
10 Sciunzi, Berardino
10 Shen, Yaotian
10 Staicu, Vasile
10 Valdinoci, Enrico
10 Winkert, Patrick
10 Zhang, Binlin
10 Zhang, Chao
9 Ambrosio, Vincenzo
9 Chen, Jianqing
9 Dipierro, Serena
9 Guo, Qianqiao
9 Iannizzotto, Antonio
9 Kombe, Ismail
9 Molica Bisci, Giovanni
9 Perera, Kanishka
9 Ryu, Seungjin
9 Zhao, Peihao
8 Afrouzi, Ghasem Alizadeh
8 Arcoya, David
8 Del Pezzo, Leandro M.
8 Deng, Zhiying
8 Drábek, Pavel
8 Ercole, Grey
8 Iturriaga, Leonelo
8 Mengesha, Tadele
8 Merchán, Susana
8 Musina, Roberta
8 Prashanth, S.
8 Ramos Quoirin, Humberto
8 Song, Yueqiang
8 Xiang, Mingqi
8 Yang, Sibei
8 Zhou, Shulin
7 Aizicovici, Sergiu
7 Ambrosetti, Antonio
7 Boccardo, Lucio
7 Chen, Huyuan
7 Chtioui, Hichem
7 Esposito, Pierpaolo
7 Fan, Xianling
7 García-Melián, Jorge
7 Goldstein, Jerome Arthur
7 He, Xiaoming
7 Jang, Yunsoo
7 Martínez-Aparicio, Pedro J.
7 Mukherjee, Tuhina
7 Nguyen, Thanh-Nhan
7 Pinasco, Juan Pablo
...and 1,555 more Authors
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Cited in 226 Serials

248 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
169 Journal of Mathematical Analysis and Applications
134 Journal of Differential Equations
88 Calculus of Variations and Partial Differential Equations
69 Journal of Functional Analysis
44 Annali di Matematica Pura ed Applicata. Serie Quarta
42 Advanced Nonlinear Studies
42 Communications on Pure and Applied Analysis
39 Communications in Contemporary Mathematics
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38 Discrete and Continuous Dynamical Systems
35 NoDEA. Nonlinear Differential Equations and Applications
31 Complex Variables and Elliptic Equations
30 Applied Mathematics Letters
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27 Proceedings of the American Mathematical Society
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18 Journal de Mathématiques Pures et Appliquées. Neuvième Série
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14 Journal of Evolution Equations
13 ZAMP. Zeitschrift für angewandte Mathematik und Physik
13 Nonlinear Analysis. Theory, Methods & Applications
12 Archive for Rational Mechanics and Analysis
12 Mathematical Methods in the Applied Sciences
12 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
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11 Journal d’Analyse Mathématique
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11 Topological Methods in Nonlinear Analysis
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4 Communications in Mathematical Physics
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
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4 Positivity
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4 Electronic Research Archive
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3 Duke Mathematical Journal
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