## Mitidieri, Enzo Luigi

Compute Distance To:
 Author ID: mitidieri.enzo-luigi Published as: Mitidieri, Enzo; Mitidieri, E.; Mitidieri, Enzo L.; Mitidieri, È. more...less
 Documents Indexed: 106 Publications since 1982, including 4 Books 4 Contributions as Editor Biographic References: 1 Publication Co-Authors: 44 Co-Authors with 102 Joint Publications 1,421 Co-Co-Authors
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### Co-Authors

 8 single-authored 23 Pokhozhaev, Stanislav I. 19 D’Ambrosio, Lorenzo 14 Caristi, Gabriella 14 Clément, Philippe J. E. 8 Galaktionov, Victor Aleksandrovich 6 Bozhkov, Yuri Dimitrov 6 Guedes de Figueiredo, Djairo 5 Vrabie, Ioan I. 4 Sweers, Guido H. 3 Besov, Oleg Vladimirovich 3 Gazzola, Filippo 3 Il’in, Arlen Mikhaĭlovich 3 Il’in, Vladimir Aleksandrovich 3 Kudryavtsev, Lev Dmitrievich 3 Manasevich, Raul F. 3 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 3 Ovsyannikov, Lev Vasil’evich 3 Serrin, James 3 Tesei, Alberto 3 Véron, Laurent 2 Birindelli, Isabeau 2 Del Santo, Daniele 2 Felmer, Patricio L. 2 Grunau, Hans-Christoph 2 Rădulescu, Vicenţiu D. 2 Tosques, Mario 2 Vandervorst, Robertus C. A. M. 1 Arioli, Gianni 1 Azizieh, Céline 1 Berchio, Elvise 1 Boccuto, Antonio 1 Carl, Siegfried 1 de Pagter, Bernardus 1 de Thélin, François 1 Farina, Alberto 1 Fleckinger, Jacqueline 1 Georgiev, Vladimir S. 1 Griniari, Elena 1 Hulshof, Josephus 1 Invernizzi, Sergio 1 Klaasen, Gene A. 1 Mancini, Giovanni 1 Moroşanu, Gheorghe 1 Pohozhaev, Stanislav I. 1 Soranzo, Ramon
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### Serials

 7 Doklady Mathematics 6 Journal of Differential Equations 6 Differential and Integral Equations 5 Journal of Mathematical Analysis and Applications 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Advances in Nonlinear Analysis 3 Transactions of the American Mathematical Society 3 Communications in Partial Differential Equations 3 SIAM Journal on Mathematical Analysis 3 Differential Equations 3 Lecture Notes in Pure and Applied Mathematics 3 Proceedings of the Steklov Institute of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Differential Equations 2 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 2 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Advances in Differential Equations 2 Advanced Nonlinear Studies 2 Milan Journal of Mathematics 2 Mediterranean Journal of Mathematics 2 Contemporary Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Russian Mathematical Surveys 1 Advances in Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Hiroshima Mathematical Journal 1 Mathematische Nachrichten 1 Numerical Functional Analysis and Optimization 1 Delft Progress Report 1 Asymptotic Analysis 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bollettino della Unione Matemàtica Italiana. Serie VI. A 1 Topological Methods in Nonlinear Analysis 1 Georgian Mathematical Journal 1 Sbornik: Mathematics 1 RIMS Kokyuroku 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Discrete and Continuous Dynamical Systems. Series S 1 Monographs and Research Notes in Mathematics
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### Fields

 94 Partial differential equations (35-XX) 15 Operator theory (47-XX) 14 Ordinary differential equations (34-XX) 7 Integral equations (45-XX) 6 Real functions (26-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 2 Potential theory (31-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX)

### Citations contained in zbMATH Open

97 Publications have been cited 2,529 times in 1,532 Documents Cited by Year
A priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities. Transl. from the Russian. Zbl 1074.35500
Mitidieri, E.; Pohozaev, S. I.
2001
A Rellich type identity and applications. Zbl 0816.35027
Mitidieri, Enzo
1993
Positive solutions of semilinear elliptic systems. Zbl 0818.35027
Clément, Ph.; de Figueiredo, D. G.; Mitidieri, E.
1992
A priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities. (Apriornye otsenki i otsutstvie reshenij nelinejnykh uravnenij i neravenstv v chastnykh proizvodnykh.) Zbl 0987.35002
Mitidieri, E.; Pokhozhaev, S. I.
2001
Nonexistence of positive solutions of semilinear elliptic systems in $$\mathbb{R}^ N$$. Zbl 0848.35034
Mitidieri, Enzo
1996
Hardy inequalities with optimal constants and remainder terms. Zbl 1079.46021
Gazzola, Filippo; Grunau, Hans-Christoph; Mitidieri, Enzo
2004
A maximum principle for an elliptic system and applications to semilinear problems. Zbl 0608.35022
de Figueiredo, Djairo G.; Mitidieri, Enzo
1986
Positive solutions for a quasilinear system via blow up. Zbl 0802.35044
Clément, Philippe; Manásevich, Raúl; Mitidieri, Enzo
1993
A simple approach to Hardy inequalities. Zbl 0964.26010
Mitidieri, E.
2000
The absence of global positive solutions of quasilinear elliptic inequalities. Zbl 0976.35100
Mitidieri, E.; Pokhozhaev, S. I.
1998
Representation formulae for solutions to some classes of higher order systems and related Liouville theorems. Zbl 1186.35026
Caristi, Gabriella; D’Ambrosio, Lorenzo; Mitidieri, Enzo
2008
Existence of multiple solutions for quasilinear systems via fibering method. Zbl 1021.35034
Bozhkov, Yuri; Mitidieri, Enzo
2003
Quasilinear elliptic equations with critical exponents. Zbl 0939.35072
Clément, Philippe; de Figueiredo, Djairo Guedes; Mitidieri, Enzo
1996
A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities. Zbl 1206.35265
D’Ambrosio, Lorenzo; Mitidieri, Enzo
2010
Existence of positive solutions for a nonvariational quasilinear elliptic system. Zbl 0964.35049
Clément, Philippe; Fleckinger, Jacqueline; Mitidieri, Enzo; de Thélin, François
2000
A semilinear fourth order elliptic problem with exponential nonlinearity. Zbl 1162.35339
Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph; Mitidieri, Enzo
2005
Nonexistence of weak solutions for some degenerate elliptic and parabolic problems on $$\mathbb{R}^n$$. Zbl 0988.35095
Mitidieri, Enzo; Pohozaev, Stanislav I.
2001
Blow-up estimates of positive solutions of a parabolic system. Zbl 0807.35066
Caristi, Gabriella; Mitidieri, Enzo
1994
Liouville theorems for elliptic inequalities and applications. Zbl 0919.35023
Birindelli, Isabeau; Mitidieri, Enzo
1998
Nonexistence of positive solutions for quasilinear elliptic problems in $$\mathbb R^N$$. Zbl 1056.35507
Mitidieri, E.; Pokhozhaev, S. I.
1999
Global existence of the solutions and formation of singularities for a class of hyperbolic systems. Zbl 0893.35066
Del Santo, Daniele; Georgiev, Vladimir; Mitidieri, Enzo
1997
Strongly indefinite systems with critical Sobolev exponents. Zbl 0908.35034
Hulshof, Josephus; Mitidieri, Enzo; vanderVorst, Robertus
1998
Towards a unified approach to nonexistence of solutions for a class of differential inequalities. Zbl 1115.35157
Mitidieri, Enzo; Pohozaev, Stanislav I.
2004
Weakly coupled elliptic systems and positivity. Zbl 0834.35041
Mitidieri, Enzo; Sweers, Guido
1995
Positivity preserving property for a class of biharmonic elliptic problems. Zbl 1142.35016
Berchio, Elvise; Gazzola, Filippo; Mitidieri, Enzo
2006
Existence and a priori estimates for positive solutions of $$p$$-Laplace systems. Zbl 1157.35356
Azizieh, Céline; Clément, Philippe; Mitidieri, Enzo
2002
Homoclinic orbits for a class of infinite dimensional Hamiltonian systems. Zbl 0902.35051
Clément, Philippe; Felmer, Patricio; Mitidieri, Enzo
1997
Some remarks on the asymptotic behaviour of the solutions of second order evolution equations. Zbl 0594.34070
Mitidieri, Enzo
1985
Asymptotic behaviour of some second order evolution equations. Zbl 0504.47040
Mitidieri, Enzo
1982
Maximum principles for linear elliptic systems. Zbl 0793.35011
de Figueiredo, Djairo G.; Mitidieri, Enzo
1990
Standing wave solutions for a system derived from the FitzHugh-Nagumo equations for nerve conduction. Zbl 0593.35043
Klaasen, Gene A.; Mitidieri, Enzo
1986
Liouville theorems for some nonlinear inequalities. Zbl 1233.35207
Caristi, G.; D’Ambrosio, L.; Mitidieri, E.
2008
Nonexistence of positive solutions of quasilinear equations. Zbl 1023.34500
Caristi, Gabriella; Mitidieri, Enzo
1997
On a modified capillary equation. Zbl 0841.34038
Clément, Philippe; Manásevich, Raúl; Mitidieri, Enzo
1996
Maximum principles for cooperative elliptic systems. Zbl 0712.35021
de Figueiredo, Djairo G.; Mitidieri, Enzo
1990
A priori estimates and reduction principles for quasilinear elliptic problems and applications. Zbl 1273.35138
D’Ambrosio, Lorenzo; Mitidieri, Enzo
2012
Some Liouville theorems for quasilinear elliptic inequalities. Zbl 1387.35207
Caristi, G.; Mitidieri, E.; Pokhozhaev, S. I.
2009
Non-existence theorems for systems of quasilinear partial differential equations. Zbl 0833.35043
Mitidieri, Enzo; Sweers, Guido; van der Vorst, Rob
1995
Blow-up of solutions of a hyperbolic system: The critical case. Zbl 1032.35126
Del Santo, D.; Mitidieri, E.
1998
Existence and nonexistence of global solutions of higher-order parabolic problems with slow decay initial data. Zbl 1029.35109
Caristi, Gabriella; Mitidieri, Enzo
2003
On global solutions and blow-up for Kuramoto-Sivashinsky-type models, and well-posed Burnett equations. Zbl 1176.35094
Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I.
2009
Asymptotic behaviour of the solutions of second order difference equations associated to monotone operators. Zbl 0628.39004
Mitidieri, Enzo; Morosanu, Gheorghe
1985
Nonexistence of weak solutions for some degenerate and singular hyperbolic problems on $$\mathbb{R}_+^{n+1}$$. Zbl 1032.35138
Mitidieri, E.; Pohozaev, S. I.
2001
Existence for nonlinear functional differential equations. Zbl 0655.34055
Mitidieri, Enzo; Vrabie, Ioan I.
1987
The existence of the principal eigenvalue for cooperative elliptic systems in a general domain. Zbl 0940.35147
Birindelli, I.; Mitidieri, E.; Sweers, G.
1999
Some existence and non-existence results for a homogeneous quasilinear problem. Zbl 0945.34011
Clément, Philippe; Manásevich, Raúl; Mitidieri, Enzo
1998
Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations. Zbl 1320.35002
Galaktionov, Victor A.; Mitidieri, Enzo L.; Pohozaev, Stanislav I.
2015
Nonexistence of positive solutions for a system of quasilinear elliptic equations and inequalities in $${\mathbb{R}}^N$$. Zbl 0969.35052
Mitidieri, E.; Pokhozhaev, S. I.
1999
Hardy-Littlewood-Sobolev systems and related Liouville theorems. Zbl 1284.35116
D’Ambrosio, Lorenzo; Mitidieri, Enzo
2014
Nonnegative solutions of some quasilinear elliptic inequalities and applications. Zbl 1197.35334
D’Ambrosio, L.; Mitidieri, E.
2010
Quasilinear elliptic equations with critical potentials. Zbl 1360.35030
D’Ambrosio, Lorenzo; Mitidieri, Enzo
2017
A priori estimates for positive solutions of semilinear elliptic systems via Hardy-Sobolev inequalities. Zbl 0868.35012
Clement, Ph.; de Figueiredo, D. G.; Mitidieri, E.
1996
A class of strongly nonlinear functional differential equations. Zbl 0667.34080
Mitidieri, Enzo; Vrabie, Ioan I.
1988
Conformal Killing vector fields and Rellich type identities on Riemannian manifolds. I. Zbl 1187.35058
Bozhkov, Yuri; Mitidieri, Enzo
2008
Representation formulae and inequalities for solutions of a class of second order partial differential equations. Zbl 1081.35014
D’Ambrosio, Lorenzo; Mitidieri, Enzo; Pohozaev, Stanislav I.
2006
Quasilinear elliptic systems in divergence form associated to general nonlinearities. Zbl 1404.35157
D’Ambrosio, Lorenzo; Mitidieri, Enzo
2018
Liouville theorems for elliptic systems and applications. Zbl 1312.35075
D’Ambrosio, Lorenzo; Mitidieri, Enzo
2014
Differential inclusions governed by non convex perturbations of $$m$$- accretive operators. Zbl 0736.34014
Mitidieri, Enzo; Vrabie, Ioan I.
1989
Variational approach to complicated similarity solutions of higher-order nonlinear PDEs. II. Zbl 1244.35019
Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I.
2011
Conformal Killing vector fields and Rellich type identities on Riemannian manifolds. II. Zbl 1241.58009
Bozhkov, Yuri; Mitidieri, Enzo
2012
Existence of a maximal solution for quasimonotone elliptic systems. Zbl 0809.35027
Mitidieri, Enzo; Sweers, Guido
1994
Maximum principles for a class of non-cooperative elliptic systems. Zbl 0703.35025
Caristi, Gabriella; Mitidieri, Enzo
1990
Some generalizations of the Bernstein theorem. Zbl 1274.35120
Mitidieri, E.; Pokhozhaev, S. I.
2002
Comparison principles, uniqueness and symmetry results of solutions of quasilinear elliptic equations and inequalities. Zbl 1287.35033
D’Ambrosio, Lorenzo; Farina, Alberto; Mitidieri, Enzo; Serrin, James
2013
Classification of global and blow-up sign-changing solutions of a semilinear heat equation in the subcritical Fujita range: second-order diffusion. Zbl 1298.35020
Galaktionov, Victor A.; Mitidieri, Enzo; Pohozaev, Stanislav I.
2014
Homoclinic orbits of an unbounded superquadratic Hamiltonian system. (Solutions homoclines d’un système hamiltonien non-borné et superquadratique.) Zbl 0836.35043
Clément, Philippe; Felmer, Patricio; Mitidieri, Enzo
1995
Positive solutions of some coercive-anticoercive elliptic systems. Zbl 0661.35032
Mancini, Giovanni; Mitidieri, Enzo
1986
Qualitative properties of solutions of Volterra equations in Banach spaces. Zbl 0675.45016
Clément, Philippe; Mitidieri, Enzo
1988
Existence and nonexistence of a global solution to the Kuramoto-Sivashinsky equation. Zbl 1152.35101
Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I.
2008
Further results on maximum principles for noncooperative elliptic systems. Zbl 0766.35003
Caristi, Gabriella; Mitidieri, Enzo
1991
Existence of multiple solutions for quasilinear equations via fibering method. Zbl 1131.35319
Bozhkov, Yuri; Mitidieri, Enzo
2006
Lifespan estimates for solutions of some evolution inequalities. Zbl 1184.35075
Mitidieri, E.; Pokhozhaev, S. I.
2009
Lie symmetries and criticality of semilinear differential systems. Zbl 1142.35028
Bozhkov, Yuri; Mitidieri, Enzo
2007
Isolated singularities of polyharmonic equations. Zbl 0915.35035
Caristi, Gabriella; Mitidieri, Enzo; Soranzo, Ramon
1998
Liouville theorems for some classes of nonlinear nonlocal problems. Zbl 1123.35087
Mitidieri, E.; Pokhozhaev, S. I.
2005
Entire solutions of quasilinear elliptic systems on Carnot groups. Zbl 1287.35093
D’ambrosio, Lorenzo; Mitidieri, Enzo
2013
Variational approach to complicated similarity solutions of higher order nonlinear evolution partial differential equations. Zbl 1179.35074
Galaktionov, Victor; Mitidieri, Enzo; Pokhozhaev, Stanislav
2009
The Noether approach to Pokhozhaev’s identities. Zbl 1175.35037
Bozhkov, Yuri; Mitidieri, Enzo
2007
Fujita-type theorems for quasilinear parabolic inequalities with nonlinear gradient. Zbl 1146.35382
Mitidieri, E.; Pokhozhaev, S. I.
2002
Nonlinear integrodifferential equations in Hilbert space: The variational case. Zbl 0674.45011
Mitidieri, E.; Tosques, M.
1989
On the strong convergence of an iterative scheme related to subdifferentials. Zbl 0537.65051
Mitidieri, Enzo
1982
Capacity induced by a nonlinear operator and applications. Zbl 1157.35305
Galaktionov, Victor A.; Mitidieri, Enzo; Pohozaev, Stanislav I.
2008
Local estimates and Liouville theorems for a class of quasilinear inequalities. Zbl 1159.35342
Caristi, Gabriella; Mitidieri, Enzo; Pohozaev, Stanislav I.
2008
On a class of nonlinear elliptic systems. Zbl 0932.35087
Clément, Ph.; Mitidieri, E.
1997
Global sign-changing solutions of a higher order semilinear heat equation in the subcritical Fujita range. Zbl 1388.35076
Galaktionov, Victor A.; Mitidieri, Enzo; Pohozhaev, Stanislav I.
2012
Representation formulae of solutions of second order elliptic inequalities. Zbl 1404.35113
D’Ambrosio, Lorenzo; Mitidieri, Enzo
2019
Asymptotic behavior of the solutions of a class of functional differential equations: remarks on a related Volterra equation. Zbl 0644.34068
Mitidieri, Enzo
1987
Estimates from below for the solutions to a class of second order evolution equations. Zbl 0747.35003
Mitidieri, Enzo
1990
Semigroup theory and evolution equations. The second international conference, held September 25 to 29, 1989, in Delft, Netherlands. Zbl 0741.00048
de Pagter, Ben
1991
Nonexistence of positive solutions of systems of quasilinear differential inequalities. Zbl 0887.35063
Caristi, Gabriella; Mitidieri, Enzo
1996
Blow-up of positive solutions of a non-cooperative parabolic system. Zbl 0801.35040
Caristi, Gabriella; Mitidieri, Enzo
1993
Nonlinear integrodifferential equations in a Banach space. Zbl 0722.45012
Mitidieri, Enzo; Vrabie, Ioan I.
1988
Harnack inequality and applications to solutions of biharmonic equations. Zbl 1165.35350
Caristi, Gabriella; Mitidieri, Enzo
2006
Uniqueness and comparison principles for semilinear equations and inequalities in Carnot groups. Zbl 1393.35258
D’Ambrosio, Lorenzo; Mitidieri, Enzo
2018
Volterra integral equations associated with a class of nonlinear operators in Hilbert spaces. Zbl 0608.45008
Mitidieri, Enzo; Tosques, Mario
1986
Regularity results for positive solutions of a semilinear elliptic system. Zbl 1030.35042
Boccuto, Antonio; Mitidieri, Enzo
2001
Positivity property of solutions of some quasilinear elliptic inequalities. Zbl 1157.35506
D’Ambrosio, Lorenzo; Mitidieri, Enzo
2008
Representation formulae of solutions of second order elliptic inequalities. Zbl 1404.35113
D&rsquo;Ambrosio, Lorenzo; Mitidieri, Enzo
2019
Quasilinear elliptic systems in divergence form associated to general nonlinearities. Zbl 1404.35157
D&rsquo;Ambrosio, Lorenzo; Mitidieri, Enzo
2018
Uniqueness and comparison principles for semilinear equations and inequalities in Carnot groups. Zbl 1393.35258
D&rsquo;Ambrosio, Lorenzo; Mitidieri, Enzo
2018
Quasilinear elliptic equations with critical potentials. Zbl 1360.35030
D&rsquo;Ambrosio, Lorenzo; Mitidieri, Enzo
2017
Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations. Zbl 1320.35002
Galaktionov, Victor A.; Mitidieri, Enzo L.; Pohozaev, Stanislav I.
2015
Hardy-Littlewood-Sobolev systems and related Liouville theorems. Zbl 1284.35116
D&rsquo;Ambrosio, Lorenzo; Mitidieri, Enzo
2014
Liouville theorems for elliptic systems and applications. Zbl 1312.35075
D&rsquo;Ambrosio, Lorenzo; Mitidieri, Enzo
2014
Classification of global and blow-up sign-changing solutions of a semilinear heat equation in the subcritical Fujita range: second-order diffusion. Zbl 1298.35020
Galaktionov, Victor A.; Mitidieri, Enzo; Pohozaev, Stanislav I.
2014
Comparison principles, uniqueness and symmetry results of solutions of quasilinear elliptic equations and inequalities. Zbl 1287.35033
D&rsquo;Ambrosio, Lorenzo; Farina, Alberto; Mitidieri, Enzo; Serrin, James
2013
Entire solutions of quasilinear elliptic systems on Carnot groups. Zbl 1287.35093
D&rsquo;ambrosio, Lorenzo; Mitidieri, Enzo
2013
A priori estimates and reduction principles for quasilinear elliptic problems and applications. Zbl 1273.35138
D&rsquo;Ambrosio, Lorenzo; Mitidieri, Enzo
2012
Conformal Killing vector fields and Rellich type identities on Riemannian manifolds. II. Zbl 1241.58009
Bozhkov, Yuri; Mitidieri, Enzo
2012
Global sign-changing solutions of a higher order semilinear heat equation in the subcritical Fujita range. Zbl 1388.35076
Galaktionov, Victor A.; Mitidieri, Enzo; Pohozhaev, Stanislav I.
2012
Variational approach to complicated similarity solutions of higher-order nonlinear PDEs. II. Zbl 1244.35019
Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I.
2011
A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities. Zbl 1206.35265
D&rsquo;Ambrosio, Lorenzo; Mitidieri, Enzo
2010
Nonnegative solutions of some quasilinear elliptic inequalities and applications. Zbl 1197.35334
D&rsquo;Ambrosio, L.; Mitidieri, E.
2010
Some Liouville theorems for quasilinear elliptic inequalities. Zbl 1387.35207
Caristi, G.; Mitidieri, E.; Pokhozhaev, S. I.
2009
On global solutions and blow-up for Kuramoto-Sivashinsky-type models, and well-posed Burnett equations. Zbl 1176.35094
Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I.
2009
Lifespan estimates for solutions of some evolution inequalities. Zbl 1184.35075
Mitidieri, E.; Pokhozhaev, S. I.
2009
Variational approach to complicated similarity solutions of higher order nonlinear evolution partial differential equations. Zbl 1179.35074
Galaktionov, Victor; Mitidieri, Enzo; Pokhozhaev, Stanislav
2009
Representation formulae for solutions to some classes of higher order systems and related Liouville theorems. Zbl 1186.35026
Caristi, Gabriella; D&rsquo;Ambrosio, Lorenzo; Mitidieri, Enzo
2008
Liouville theorems for some nonlinear inequalities. Zbl 1233.35207
Caristi, G.; D&rsquo;Ambrosio, L.; Mitidieri, E.
2008
Conformal Killing vector fields and Rellich type identities on Riemannian manifolds. I. Zbl 1187.35058
Bozhkov, Yuri; Mitidieri, Enzo
2008
Existence and nonexistence of a global solution to the Kuramoto-Sivashinsky equation. Zbl 1152.35101
Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I.
2008
Capacity induced by a nonlinear operator and applications. Zbl 1157.35305
Galaktionov, Victor A.; Mitidieri, Enzo; Pohozaev, Stanislav I.
2008
Local estimates and Liouville theorems for a class of quasilinear inequalities. Zbl 1159.35342
Caristi, Gabriella; Mitidieri, Enzo; Pohozaev, Stanislav I.
2008
Positivity property of solutions of some quasilinear elliptic inequalities. Zbl 1157.35506
D&rsquo;Ambrosio, Lorenzo; Mitidieri, Enzo
2008
Lie symmetries and criticality of semilinear differential systems. Zbl 1142.35028
Bozhkov, Yuri; Mitidieri, Enzo
2007
The Noether approach to Pokhozhaev’s identities. Zbl 1175.35037
Bozhkov, Yuri; Mitidieri, Enzo
2007
Positivity preserving property for a class of biharmonic elliptic problems. Zbl 1142.35016
Berchio, Elvise; Gazzola, Filippo; Mitidieri, Enzo
2006
Representation formulae and inequalities for solutions of a class of second order partial differential equations. Zbl 1081.35014
D&rsquo;Ambrosio, Lorenzo; Mitidieri, Enzo; Pohozaev, Stanislav I.
2006
Existence of multiple solutions for quasilinear equations via fibering method. Zbl 1131.35319
Bozhkov, Yuri; Mitidieri, Enzo
2006
Harnack inequality and applications to solutions of biharmonic equations. Zbl 1165.35350
Caristi, Gabriella; Mitidieri, Enzo
2006
A semilinear fourth order elliptic problem with exponential nonlinearity. Zbl 1162.35339
Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph; Mitidieri, Enzo
2005
Liouville theorems for some classes of nonlinear nonlocal problems. Zbl 1123.35087
Mitidieri, E.; Pokhozhaev, S. I.
2005
Hardy inequalities with optimal constants and remainder terms. Zbl 1079.46021
Gazzola, Filippo; Grunau, Hans-Christoph; Mitidieri, Enzo
2004
Towards a unified approach to nonexistence of solutions for a class of differential inequalities. Zbl 1115.35157
Mitidieri, Enzo; Pohozaev, Stanislav I.
2004
Existence of multiple solutions for quasilinear systems via fibering method. Zbl 1021.35034
Bozhkov, Yuri; Mitidieri, Enzo
2003
Existence and nonexistence of global solutions of higher-order parabolic problems with slow decay initial data. Zbl 1029.35109
Caristi, Gabriella; Mitidieri, Enzo
2003
Existence and a priori estimates for positive solutions of $$p$$-Laplace systems. Zbl 1157.35356
Azizieh, Céline; Clément, Philippe; Mitidieri, Enzo
2002
Some generalizations of the Bernstein theorem. Zbl 1274.35120
Mitidieri, E.; Pokhozhaev, S. I.
2002
Fujita-type theorems for quasilinear parabolic inequalities with nonlinear gradient. Zbl 1146.35382
Mitidieri, E.; Pokhozhaev, S. I.
2002
A priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities. Transl. from the Russian. Zbl 1074.35500
Mitidieri, E.; Pohozaev, S. I.
2001
A priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities. (Apriornye otsenki i otsutstvie reshenij nelinejnykh uravnenij i neravenstv v chastnykh proizvodnykh.) Zbl 0987.35002
Mitidieri, E.; Pokhozhaev, S. I.
2001
Nonexistence of weak solutions for some degenerate elliptic and parabolic problems on $$\mathbb{R}^n$$. Zbl 0988.35095
Mitidieri, Enzo; Pohozaev, Stanislav I.
2001
Nonexistence of weak solutions for some degenerate and singular hyperbolic problems on $$\mathbb{R}_+^{n+1}$$. Zbl 1032.35138
Mitidieri, E.; Pohozaev, S. I.
2001
Regularity results for positive solutions of a semilinear elliptic system. Zbl 1030.35042
Boccuto, Antonio; Mitidieri, Enzo
2001
A simple approach to Hardy inequalities. Zbl 0964.26010
Mitidieri, E.
2000
Existence of positive solutions for a nonvariational quasilinear elliptic system. Zbl 0964.35049
Clément, Philippe; Fleckinger, Jacqueline; Mitidieri, Enzo; de Thélin, François
2000
Nonexistence of positive solutions for quasilinear elliptic problems in $$\mathbb R^N$$. Zbl 1056.35507
Mitidieri, E.; Pokhozhaev, S. I.
1999
The existence of the principal eigenvalue for cooperative elliptic systems in a general domain. Zbl 0940.35147
Birindelli, I.; Mitidieri, E.; Sweers, G.
1999
Nonexistence of positive solutions for a system of quasilinear elliptic equations and inequalities in $${\mathbb{R}}^N$$. Zbl 0969.35052
Mitidieri, E.; Pokhozhaev, S. I.
1999
The absence of global positive solutions of quasilinear elliptic inequalities. Zbl 0976.35100
Mitidieri, E.; Pokhozhaev, S. I.
1998
Liouville theorems for elliptic inequalities and applications. Zbl 0919.35023
Birindelli, Isabeau; Mitidieri, Enzo
1998
Strongly indefinite systems with critical Sobolev exponents. Zbl 0908.35034
Hulshof, Josephus; Mitidieri, Enzo; vanderVorst, Robertus
1998
Blow-up of solutions of a hyperbolic system: The critical case. Zbl 1032.35126
Del Santo, D.; Mitidieri, E.
1998
Some existence and non-existence results for a homogeneous quasilinear problem. Zbl 0945.34011
Clément, Philippe; Manásevich, Raúl; Mitidieri, Enzo
1998
Isolated singularities of polyharmonic equations. Zbl 0915.35035
Caristi, Gabriella; Mitidieri, Enzo; Soranzo, Ramon
1998
Global existence of the solutions and formation of singularities for a class of hyperbolic systems. Zbl 0893.35066
Del Santo, Daniele; Georgiev, Vladimir; Mitidieri, Enzo
1997
Homoclinic orbits for a class of infinite dimensional Hamiltonian systems. Zbl 0902.35051
Clément, Philippe; Felmer, Patricio; Mitidieri, Enzo
1997
Nonexistence of positive solutions of quasilinear equations. Zbl 1023.34500
Caristi, Gabriella; Mitidieri, Enzo
1997
On a class of nonlinear elliptic systems. Zbl 0932.35087
Clément, Ph.; Mitidieri, E.
1997
Nonexistence of positive solutions of semilinear elliptic systems in $$\mathbb{R}^ N$$. Zbl 0848.35034
Mitidieri, Enzo
1996
Quasilinear elliptic equations with critical exponents. Zbl 0939.35072
Clément, Philippe; de Figueiredo, Djairo Guedes; Mitidieri, Enzo
1996
On a modified capillary equation. Zbl 0841.34038
Clément, Philippe; Manásevich, Raúl; Mitidieri, Enzo
1996
A priori estimates for positive solutions of semilinear elliptic systems via Hardy-Sobolev inequalities. Zbl 0868.35012
Clement, Ph.; de Figueiredo, D. G.; Mitidieri, E.
1996
Nonexistence of positive solutions of systems of quasilinear differential inequalities. Zbl 0887.35063
Caristi, Gabriella; Mitidieri, Enzo
1996
Weakly coupled elliptic systems and positivity. Zbl 0834.35041
Mitidieri, Enzo; Sweers, Guido
1995
Non-existence theorems for systems of quasilinear partial differential equations. Zbl 0833.35043
Mitidieri, Enzo; Sweers, Guido; van der Vorst, Rob
1995
Homoclinic orbits of an unbounded superquadratic Hamiltonian system. (Solutions homoclines d’un système hamiltonien non-borné et superquadratique.) Zbl 0836.35043
Clément, Philippe; Felmer, Patricio; Mitidieri, Enzo
1995
Blow-up estimates of positive solutions of a parabolic system. Zbl 0807.35066
Caristi, Gabriella; Mitidieri, Enzo
1994
Existence of a maximal solution for quasimonotone elliptic systems. Zbl 0809.35027
Mitidieri, Enzo; Sweers, Guido
1994
A Rellich type identity and applications. Zbl 0816.35027
Mitidieri, Enzo
1993
Positive solutions for a quasilinear system via blow up. Zbl 0802.35044
Clément, Philippe; Manásevich, Raúl; Mitidieri, Enzo
1993
Blow-up of positive solutions of a non-cooperative parabolic system. Zbl 0801.35040
Caristi, Gabriella; Mitidieri, Enzo
1993
Positive solutions of semilinear elliptic systems. Zbl 0818.35027
Clément, Ph.; de Figueiredo, D. G.; Mitidieri, E.
1992
Further results on maximum principles for noncooperative elliptic systems. Zbl 0766.35003
Caristi, Gabriella; Mitidieri, Enzo
1991
Semigroup theory and evolution equations. The second international conference, held September 25 to 29, 1989, in Delft, Netherlands. Zbl 0741.00048
de Pagter, Ben
1991
Maximum principles for linear elliptic systems. Zbl 0793.35011
de Figueiredo, Djairo G.; Mitidieri, Enzo
1990
Maximum principles for cooperative elliptic systems. Zbl 0712.35021
de Figueiredo, Djairo G.; Mitidieri, Enzo
1990
Maximum principles for a class of non-cooperative elliptic systems. Zbl 0703.35025
Caristi, Gabriella; Mitidieri, Enzo
1990
Estimates from below for the solutions to a class of second order evolution equations. Zbl 0747.35003
Mitidieri, Enzo
1990
Differential inclusions governed by non convex perturbations of $$m$$- accretive operators. Zbl 0736.34014
Mitidieri, Enzo; Vrabie, Ioan I.
1989
Nonlinear integrodifferential equations in Hilbert space: The variational case. Zbl 0674.45011
Mitidieri, E.; Tosques, M.
1989
A class of strongly nonlinear functional differential equations. Zbl 0667.34080
Mitidieri, Enzo; Vrabie, Ioan I.
1988
Qualitative properties of solutions of Volterra equations in Banach spaces. Zbl 0675.45016
Clément, Philippe; Mitidieri, Enzo
1988
Nonlinear integrodifferential equations in a Banach space. Zbl 0722.45012
Mitidieri, Enzo; Vrabie, Ioan I.
1988
Existence for nonlinear functional differential equations. Zbl 0655.34055
Mitidieri, Enzo; Vrabie, Ioan I.
1987
Asymptotic behavior of the solutions of a class of functional differential equations: remarks on a related Volterra equation. Zbl 0644.34068
Mitidieri, Enzo
1987
A maximum principle for an elliptic system and applications to semilinear problems. Zbl 0608.35022
de Figueiredo, Djairo G.; Mitidieri, Enzo
1986
Standing wave solutions for a system derived from the FitzHugh-Nagumo equations for nerve conduction. Zbl 0593.35043
Klaasen, Gene A.; Mitidieri, Enzo
1986
Positive solutions of some coercive-anticoercive elliptic systems. Zbl 0661.35032
Mancini, Giovanni; Mitidieri, Enzo
1986
Volterra integral equations associated with a class of nonlinear operators in Hilbert spaces. Zbl 0608.45008
Mitidieri, Enzo; Tosques, Mario
1986
Some remarks on the asymptotic behaviour of the solutions of second order evolution equations. Zbl 0594.34070
Mitidieri, Enzo
1985
Asymptotic behaviour of the solutions of second order difference equations associated to monotone operators. Zbl 0628.39004
Mitidieri, Enzo; Morosanu, Gheorghe
1985
Asymptotic behaviour of some second order evolution equations. Zbl 0504.47040
Mitidieri, Enzo
1982
On the strong convergence of an iterative scheme related to subdifferentials. Zbl 0537.65051
Mitidieri, Enzo
1982
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### Cited by 1,371 Authors

 41 Mitidieri, Enzo Luigi 38 Korpusov, Maksim Olegovich 28 Samet, Bessem 27 Pokhozhaev, Stanislav I. 25 Jleli, Mohamed Boussairi 24 Kirane, Mokhtar 23 Galakhov, Evgeniĭ Igorevich 22 D’Ambrosio, Lorenzo 19 Khatibzadeh, Hadi 18 Gazzola, Filippo 17 Yang, Zuodong 16 Do Ó, João M. Bezerra 15 Filippucci, Roberta 15 Sweers, Guido H. 14 Dzhokhadze, Otar Mikhajlovich 14 Ghergu, Marius 14 Kharibegashvili, S. S. 14 Lei, Yutian 14 Salieva, Olga Alekseevna 13 Djafari Rouhani, Behzad 13 Galaktionov, Victor Aleksandrovich 13 Souplet, Philippe 12 Miyagaki, Olimpio Hiroshi 12 Ubilla, Pedro 11 Fino, Ahmad Z. 11 Kon’kov, Andrej A. 11 Musina, Roberta 11 Sun, Yuhua 10 Berchio, Elvise 10 Bozhkov, Yuri Dimitrov 10 Clément, Philippe J. E. 10 Farina, Alberto 10 Ferrero, Alberto 10 Grunau, Hans-Christoph 10 Moreira dos Santos, Ederson 9 Al-saedi, Ahmed Eid Salem 9 Álvarez-Caudevilla, Pablo 9 Ding, Yanheng 9 García-Huidobro, Marta 9 Lam, Nguyen 9 Panin, Aleksandr Anatol’evich 9 Punzo, Fabio 9 Tang, Xianhua 9 Villavert, John 9 Wei, Juncheng 9 Zheng, Sining 8 Afrouzi, Ghasem Alizadeh 8 Ahmad, Bashir 8 Capuzzo Dolcetta, Italo 8 Dai, Wei 8 Guedes de Figueiredo, Djairo 8 de Oliveira, José Francisco 8 Duong, Anh Tuan 8 Guo, Zongming 8 Li, Congming 8 Lu, Guozhen 8 Sirakov, Boyan Slavchev 8 Sobajima, Motohiro 8 Vrabie, Ioan I. 8 Yushkov, Egor Vladislavovich 8 Zou, Wenming 7 Aliev, Akbar B. 7 Cassani, Daniele 7 Chen, Caisheng 7 Sobreira de Araujo Corrêa, Francisco Julio 7 Feng, Meiqiang 7 Manasevich, Raul F. 7 Montenegro, Marcos 7 Nguyen Tuan Duy 7 Taliaferro, Steven D. 7 Tatar, Nasser-eddine 6 Agarwal, Ravi P. 6 Alves, Claudianor Oliveira 6 Bhakta, Mousomi 6 Chen, Chaonien 6 Cowan, Craig 6 D’Abbicco, Marcello 6 Abreu Goncalves, Jose Valdo 6 Ishige, Kazuhiro 6 Monticelli, Dario Daniele 6 Palmieri, Alessandro 6 Phan, Quoc Hung 6 Pucci, Patrizia 6 Rigoli, Marco 6 Ruf, Bernhard 6 Serrin, James 6 Takahashi, Futoshi 6 Wang, Mingxin 6 Yarur, Cecilia S. 6 Yin, Jingxue 6 Yu, Xiaohui 6 Zhang, Zhengce 6 Zographopoulos, Nikolaos B. 5 Bidaut-Veron, Marie-Françoise 5 Bonheure, Denis 5 Chhetri, Maya 5 Dancer, Edward Norman 5 Figueiredo, Giovany Malcher 5 Fleckinger, Jacqueline 5 Ganguly, Debdip ...and 1,271 more Authors
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### Cited in 224 Serials

 204 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 132 Journal of Mathematical Analysis and Applications 112 Journal of Differential Equations 37 Communications on Pure and Applied Analysis 35 Mathematical Notes 35 Discrete and Continuous Dynamical Systems 34 Differential Equations 31 Calculus of Variations and Partial Differential Equations 28 Journal of Functional Analysis 27 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 23 Applied Mathematics Letters 23 Boundary Value Problems 22 Annali di Matematica Pura ed Applicata. Serie Quarta 20 NoDEA. Nonlinear Differential Equations and Applications 19 Proceedings of the American Mathematical Society 19 Communications in Partial Differential Equations 18 Mediterranean Journal of Mathematics 17 Journal of Mathematical Sciences (New York) 17 Communications in Contemporary Mathematics 17 Complex Variables and Elliptic Equations 17 Nonlinear Analysis. Theory, Methods & Applications 16 Applicable Analysis 16 Applied Mathematics and Computation 16 Advances in Nonlinear Analysis 14 Computers & Mathematics with Applications 14 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 14 Advanced Nonlinear Studies 13 Mathematische Annalen 13 Proceedings of the Steklov Institute of Mathematics 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Transactions of the American Mathematical Society 10 Journal of Inequalities and Applications 9 Mathematical Methods in the Applied Sciences 9 Theoretical and Mathematical Physics 9 Monatshefte für Mathematik 9 Computational Mathematics and Mathematical Physics 9 Izvestiya: Mathematics 9 Nonlinear Analysis. Real World Applications 8 Nonlinearity 8 Journal of Evolution Equations 8 Milan Journal of Mathematics 7 Rocky Mountain Journal of Mathematics 7 Journal of Computational and Applied Mathematics 7 Mathematische Nachrichten 7 The Journal of Geometric Analysis 7 Abstract and Applied Analysis 7 Advances in Difference Equations 7 Discrete and Continuous Dynamical Systems. Series S 6 Archive for Rational Mechanics and Analysis 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 6 Mathematische Zeitschrift 6 Acta Applicandae Mathematicae 6 Science China. Mathematics 5 Journal d’Analyse Mathématique 5 Journal of Mathematical Physics 5 Archiv der Mathematik 5 Numerical Functional Analysis and Optimization 5 Siberian Mathematical Journal 5 Chinese Annals of Mathematics. Series B 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Journal of Dynamics and Differential Equations 5 Topological Methods in Nonlinear Analysis 5 Electronic Journal of Differential Equations (EJDE) 5 Mathematical Inequalities & Applications 5 Lobachevskii Journal of Mathematics 5 Journal of Fixed Point Theory and Applications 4 Israel Journal of Mathematics 4 Chaos, Solitons and Fractals 4 Advances in Mathematics 4 Doklady Mathematics 4 Fractional Calculus & Applied Analysis 4 Acta Mathematica Sinica. English Series 4 Communications in Nonlinear Science and Numerical Simulation 4 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Function Spaces 3 Journal of Optimization Theory and Applications 3 Mathematica Slovaca 3 Michigan Mathematical Journal 3 Rostocker Mathematisches Kolloquium 3 Physica D 3 Acta Mathematicae Applicatae Sinica. English Series 3 Journal of Integral Equations and Applications 3 International Journal of Mathematics 3 Potential Analysis 3 Applied Mathematics. Series B (English Edition) 3 Bulletin des Sciences Mathématiques 3 Taiwanese Journal of Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Set-Valued and Variational Analysis 3 Arabian Journal of Mathematics 3 AIMS Mathematics 2 Lithuanian Mathematical Journal 2 Czechoslovak Mathematical Journal 2 Duke Mathematical Journal 2 Glasgow Mathematical Journal 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Soviet Mathematics 2 Manuscripta Mathematica 2 Quarterly of Applied Mathematics ...and 124 more Serials
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### Cited in 42 Fields

 1,343 Partial differential equations (35-XX) 127 Ordinary differential equations (34-XX) 126 Operator theory (47-XX) 105 Real functions (26-XX) 80 Global analysis, analysis on manifolds (58-XX) 77 Functional analysis (46-XX) 49 Integral equations (45-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 35 Potential theory (31-XX) 26 Fluid mechanics (76-XX) 22 Differential geometry (53-XX) 22 Numerical analysis (65-XX) 21 Difference and functional equations (39-XX) 20 Dynamical systems and ergodic theory (37-XX) 19 Biology and other natural sciences (92-XX) 10 Probability theory and stochastic processes (60-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Mechanics of deformable solids (74-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Abstract harmonic analysis (43-XX) 6 Topological groups, Lie groups (22-XX) 6 Quantum theory (81-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Mechanics of particles and systems (70-XX) 4 Relativity and gravitational theory (83-XX) 4 Operations research, mathematical programming (90-XX) 3 Approximations and expansions (41-XX) 3 Optics, electromagnetic theory (78-XX) 3 Systems theory; control (93-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX)