## Quaas, Alexander

Compute Distance To:
 Author ID: quaas.alexander Published as: Quaas, Alexander; Quaas, A. External Links: MGP
 Documents Indexed: 84 Publications since 2002 Co-Authors: 27 Co-Authors with 83 Joint Publications 554 Co-Co-Authors
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### Co-Authors

 1 single-authored 29 Felmer, Patricio L. 18 García-Melián, Jorge 11 Sirakov, Boyan Slavchev 10 Alarcón, Salomón 8 Del Pezzo, Leandro M. 7 Barrios Barrera, Begoña 6 Xia, Aliang 5 Chen, Huyuan 5 Dávila, Gonzalo 4 Esteban, Maria J. 4 Tang, Moxun 4 Topp, Erwin 3 Burgos-Pérez, M. Á. 2 Busca, Jérôme 2 Iturriaga, Leonelo 2 Meneses, Rodrigo 2 Rodríguez, Andrei 2 Tan, Jinggang 2 Yu, Jian-She 2 Zhou, Feng 1 Allendes, Alejandro 1 Barles, Guy 1 Fuentes, Rodrigo 1 González-Melendez, Osiris 1 da Silva Montenegro, Marcelo 1 Rodríguez-Paredes, Andrei 1 Salort, Ariel Martin
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### Serials

 12 Journal of Differential Equations 6 Discrete and Continuous Dynamical Systems 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Calculus of Variations and Partial Differential Equations 4 Journal d’Analyse Mathématique 4 Communications in Partial Differential Equations 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Mathematical Analysis and Applications 2 Advances in Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Indiana University Mathematics Journal 2 Mathematische Annalen 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Differential and Integral Equations 2 NoDEA. Nonlinear Differential Equations and Applications 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Revista Matemática Iberoamericana 1 Asymptotic Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Advances in Differential Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Communications in Contemporary Mathematics 1 Journal of Evolution Equations 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Complex Variables and Elliptic Equations 1 Journal of Fixed Point Theory and Applications 1 Pure and Applied Functional Analysis
all top 5

### Fields

 82 Partial differential equations (35-XX) 18 Operator theory (47-XX) 9 Integral equations (45-XX) 6 Ordinary differential equations (34-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

70 Publications have been cited 1,244 times in 807 Documents Cited by Year
Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian. Zbl 1290.35308
Felmer, Patricio; Quaas, Alexander; Tan, Jinggang
2012
Principal eigenvalues and the Dirichlet problem for fully nonlinear elliptic operators. Zbl 1143.35077
Quaas, Alexander; Sirakov, Boyan
2008
Nonlinear eigenvalues and bifurcation problems for Pucci’s operators. Zbl 1205.35087
Busca, Jérôme; Esteban, Maria J.; Quaas, Alexander
2005
A Hopf’s lemma and a strong minimum principle for the fractional $$p$$-Laplacian. Zbl 1362.35061
Del Pezzo, Leandro M.; Quaas, Alexander
2017
Fundamental solutions and Liouville type theorems for nonlinear integral operators. Zbl 1209.45009
Felmer, Patricio; Quaas, Alexander
2011
Positive radial solutions to a {\ semilinear\'} equation involving the Pucci’s operator. Zbl 1070.34032
Felmer, Patricio L.; Quaas, Alexander
2004
Liouville type theorems for nonlinear elliptic equations and systems involving fractional Laplacian in the half space. Zbl 1316.35291
Quaas, Alexander; Xia, Aliang
2015
Existence results for nonproper elliptic equations involving the Pucci operator. Zbl 1237.35056
Quaas, Alexander; Sirakov, Boyan
2006
Large solutions to elliptic equations involving fractional Laplacian. Zbl 1456.35211
Chen, Huyuan; Felmer, Patricio; Quaas, Alexander
2015
On critical exponents for the Pucci’s extremal operators. Zbl 1274.35115
Felmer, Patricio L.; Quaas, Alexander
2003
Global bifurcation for fractional $$p$$-Laplacian and an application. Zbl 1351.35247
Del Pezzo, Leandro M.; Quaas, Alexander
2016
Harnack inequality for singular fully nonlinear operators and some existence results. Zbl 1204.35088
Dávila, Gonzalo; Felmer, Patricio; Quaas, Alexander
2010
Keller-Osserman type conditions for some elliptic problems with gradient terms. Zbl 1235.35096
Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander
2012
Fundamental solutions and two properties of elliptic maximal and minimal operators. Zbl 1181.35090
Felmer, Patricio L.; Quaas, Alexander
2009
Alexandroff-Bakelman-Pucci estimate for singular or degenerate fully nonlinear elliptic equations. Zbl 1180.35230
Dávila, Gonzalo; Felmer, Patricio; Quaas, Alexander
2009
Boundary blow up solutions for fractional elliptic equations. Zbl 1260.35242
Felmer, Patricio; Quaas, Alexander
2012
Solvability of nonlinear elliptic equations with gradient terms. Zbl 1282.35166
Felmer, Patricio; Quaas, Alexander; Sirakov, Boyan
2013
Existence of a positive solution to a “semilinear” equation involving Pucci’s operator in a convex domain. Zbl 1174.35373
Quaas, Alexander
2004
A Liouville type theorem for Lane-Emden systems involving the fractional Laplacian. Zbl 1350.35046
Quaas, Alexander; Xia, Aliang
2016
Superlinear elliptic equation for fully nonlinear operators without growth restrictions for the data. Zbl 1228.35102
Esteban, Maria J.; Felmer, Patricio L.; Quaas, Alexander
2010
On the principal eigenvalues and the Dirichlet problem for fully nonlinear operators. Zbl 1134.35048
Quaas, Alexander; Sirakov, Boyan
2006
A note on the strong maximum principle and the compact support principle. Zbl 1157.35018
Felmer, Patricio; Montenegro, Marcelo; Quaas, Alexander
2009
Existence and non-existence results for fully nonlinear elliptic systems. Zbl 1208.35043
Quaas, Alexander; Sirakov, Boyan
2009
Nonexistence of positive supersolutions to some nonlinear elliptic problems. Zbl 1291.35067
Alarcón, S.; García-Melián, J.; Quaas, A.
2013
Landesman-Lazer type results for second order Hamilton-Jacobi-Bellman equations. Zbl 1190.35223
Felmer, Patricio; Quaas, Alexander; Sirakov, Boyan
2010
Resonance phenomena for second-order stochastic control equations. Zbl 1210.35273
Felmer, Patricio; Quaas, Alexander; Sirakov, Boyan
2010
Optimal Liouville theorems for supersolutions of elliptic equations with the Laplacian. Zbl 1378.35054
Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander
2016
Liouville type theorems for elliptic equations with gradient terms. Zbl 1268.35052
Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander
2013
A priori bounds and existence of solutions for some nonlocal elliptic problems. Zbl 1391.35082
Barrios, Begoña; Del Pezzo, Leandro M.; García-Melián, Jorge; Quaas, Alexander
2018
Classification of isolated singularities of nonnegative solutions to fractional semi-linear elliptic equations and the existence results. Zbl 1392.35155
Chen, Huyuan; Quaas, Alexander
2018
On the complex structure of positive solutions to Matukuma-type equations. Zbl 1175.35051
Felmer, Patricio; Quaas, Alexander; Tang, Moxun
2009
Eigenvalues for radially symmetric fully nonlinear operators. Zbl 1206.35186
Esteban, Maria J.; Felmer, Patricio; Quaas, Alexander
2010
Large number of fast decay ground states to Matukuma-type equations. Zbl 1187.35077
Alarcón, Salomón; Quaas, Alexander
2010
Monotonicity properties for ground states of the scalar field equation. Zbl 1136.35032
Felmer, Patricio L.; Quaas, Alexander; Tang, Moxun; Yu, Jianshe
2008
Existence and multiplicity results for Pucci’s operators involving nonlinearities with zeros. Zbl 1258.35093
Alarcón, Salomón; Iturriaga, Leonelo; Quaas, Alexander
2012
Existence and non-existence of solutions to elliptic equations with a general convection term. Zbl 1292.35106
Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander
2014
Fundamental solutions for a class of Isaacs integral operators. Zbl 1228.47047
Felmer, Patricio; Quaas, Alexander
2011
On uniqueness for nonlinear elliptic equation involving the Pucci’s extremal operator. Zbl 1245.35038
Felmer, Patricio L.; Quaas, Alexander; Tang, Moxun
2006
Large viscosity solutions for some fully nonlinear equations. Zbl 1273.35120
Alarcón, S.; Quaas, A.
2013
Classification of supersolutions and Liouville theorems for some nonlinear elliptic problems. Zbl 1351.35031
Quaas, A.; García-Melián, J.; Burgos-Pérez, M. Á.
2016
Multiple positive solutions for nonlinear critical fractional elliptic equations involving sign-changing weight functions. Zbl 1431.35234
Quaas, Alexander; Xia, Aliang
2016
Existence and regularity results for fully nonlinear equations with singularities. Zbl 1250.35052
Felmer, Patricio; Quaas, Alexander; Sirakov, Boyan
2012
Loss of boundary conditions for fully nonlinear parabolic equations with superquadratic gradient terms. Zbl 1401.35153
Quaas, Alexander; Rodríguez, Andrei
2018
Critical exponents for the Pucci’s extremal operators. Zbl 1032.35069
Felmer, Patricio L.; Quaas, Alexander
2002
On the strong maximum principle for quasilinear elliptic equations and systems. Zbl 1223.35096
Felmer, Patricio L.; Quaas, Alexander
2002
Random dynamics of gene transcription activation in single cells. Zbl 1180.92025
Felmer, Patricio L.; Quaas, Alexander; Tang, Moxun; Yu, Jianshe
2009
Fujita type exponent for fully nonlinear parabolic equations and existence results. Zbl 1218.35027
Meneses, Rodrigo; Quaas, Alexander
2011
Critical exponents for uniformly elliptic extremal operators. Zbl 1281.35036
Felmer, Patricio L.; Quaas, Alexander
2006
Multiplicity results for extremal operators through bifurcation. Zbl 1209.35038
Allendes, Alejandro; Quaas, Alexander
2011
The sharp exponent in the study of the nonlocal Hénon equation in $$\mathbb{R}^N$$: a Liouville theorem and an existence result. Zbl 1439.35521
Barrios, B.; Quaas, A.
2020
Existence results of positive solutions for nonlinear cooperative elliptic systems involving fractional Laplacian. Zbl 1390.35089
Quaas, Alexander; Xia, Aliang
2018
Existence, nonexistence and multiplicity results for nonlocal Dirichlet problems. Zbl 1420.35095
Dávila, Gonzalo; Quaas, Alexander; Topp, Erwin
2019
Monotonicity of solutions for some nonlocal elliptic problems in half-spaces. Zbl 1371.35105
Barrios, B.; Del Pezzo, L.; García-Melián, J.; Quaas, A.
2017
Some recent results on equations involving the Pucci’s extremal operators. Zbl 1231.35017
Felmer, Patricio; Quaas, Alexander
2006
Large critical exponents for some second order uniformly elliptic operators. Zbl 1187.35071
Esteban, Maria J.; Felmer, Patricio L.; Quaas, Alexander
2007
Symmetry results in the half-space for a semi-linear fractional Laplace equation. Zbl 1406.35017
Barrios, B.; Del Pezzo, L.; García-Melián, J.; Quaas, A.
2018
Nonexistence results for elliptic equations with gradient terms. Zbl 1335.35028
Alarcón, S.; Burgos-Pérez, M. Á.; García-Melián, J.; Quaas, A.
2016
Spectrum of the fractional $$p$$-Laplacian in $$\mathbb{R}^N$$ and decay estimate for positive solutions of a Schrödinger equation. Zbl 1439.35525
Del Pezzo, Leandro M.; Quaas, Alexander
2020
Existence and uniqueness of solutions of nonlinear elliptic equations without growth conditions at infinity. Zbl 1308.35102
Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander
2012
Some nonexistence theorems for semilinear fourth-order equations. Zbl 1418.35052
Burgos-Pérez, M. Á.; García-Melián, J.; Quaas, A.
2019
Existence and uniqueness of positive solutions for a class of logistic type elliptic equations in $$\mathbb{R}^N$$ involving fractional Laplacian. Zbl 1365.35220
Xia, Aliang; Quaas, Alexander
2017
On critical exponents for Lane-Emden-Fowler-type equations with a singular extremal operator. Zbl 1398.35054
González-Melendez, Osiris; Quaas, Alexander
2017
Non-resonant Fredholm alternative and anti-maximum principle for the fractional $$p$$-Laplacian. Zbl 1366.35216
Del Pezzo, Leandro M.; Quaas, Alexander
2017
A Liouville theorem for indefinite fractional diffusion equations and its application to existence of solutions. Zbl 1368.45007
Barrios, Begoña; Del Pezzo, Leandro; García-Melián, Jorge; Quaas, Alexander
2017
Large-time behavior of unbounded solutions of viscous Hamilton-Jacobi equations in $$\mathbb{R}^N$$. Zbl 1467.35046
Barles, Guy; Quaas, Alexander; Rodríguez-Paredes, Andrei
2021
Qualitative properties for semilinear elliptic systems with non-Lipschitz nonlinearity. Zbl 1012.35024
Busca, Jérôme; Quaas, Alexander
2002
A note on the monotonicity of solutions for fractional equations in half-spaces. Zbl 1417.35239
Barrios, B.; García-Melián, J.; Quaas, A.
2019
Solvability of monotone systems of fully nonlinear elliptic PDE’s. Zbl 1147.35317
Quaas, Alexander; Sirakov, Boyan
2008
Continuous viscosity solutions for nonlocal Dirichlet problems with coercive gradient terms. Zbl 1377.35059
Dávila, Gonzalo; Quaas, Alexander; Topp, Erwin
2017
Periodic solutions for the one-dimensional fractional Laplacian. Zbl 1430.35246
Barrios, B.; García-Melián, J.; Quaas, A.
2019
Large-time behavior of unbounded solutions of viscous Hamilton-Jacobi equations in $$\mathbb{R}^N$$. Zbl 1467.35046
Barles, Guy; Quaas, Alexander; Rodríguez-Paredes, Andrei
2021
The sharp exponent in the study of the nonlocal Hénon equation in $$\mathbb{R}^N$$: a Liouville theorem and an existence result. Zbl 1439.35521
Barrios, B.; Quaas, A.
2020
Spectrum of the fractional $$p$$-Laplacian in $$\mathbb{R}^N$$ and decay estimate for positive solutions of a Schrödinger equation. Zbl 1439.35525
Del Pezzo, Leandro M.; Quaas, Alexander
2020
Existence, nonexistence and multiplicity results for nonlocal Dirichlet problems. Zbl 1420.35095
Dávila, Gonzalo; Quaas, Alexander; Topp, Erwin
2019
Some nonexistence theorems for semilinear fourth-order equations. Zbl 1418.35052
Burgos-Pérez, M. Á.; García-Melián, J.; Quaas, A.
2019
A note on the monotonicity of solutions for fractional equations in half-spaces. Zbl 1417.35239
Barrios, B.; García-Melián, J.; Quaas, A.
2019
Periodic solutions for the one-dimensional fractional Laplacian. Zbl 1430.35246
Barrios, B.; García-Melián, J.; Quaas, A.
2019
A priori bounds and existence of solutions for some nonlocal elliptic problems. Zbl 1391.35082
Barrios, Begoña; Del Pezzo, Leandro M.; García-Melián, Jorge; Quaas, Alexander
2018
Classification of isolated singularities of nonnegative solutions to fractional semi-linear elliptic equations and the existence results. Zbl 1392.35155
Chen, Huyuan; Quaas, Alexander
2018
Loss of boundary conditions for fully nonlinear parabolic equations with superquadratic gradient terms. Zbl 1401.35153
Quaas, Alexander; Rodríguez, Andrei
2018
Existence results of positive solutions for nonlinear cooperative elliptic systems involving fractional Laplacian. Zbl 1390.35089
Quaas, Alexander; Xia, Aliang
2018
Symmetry results in the half-space for a semi-linear fractional Laplace equation. Zbl 1406.35017
Barrios, B.; Del Pezzo, L.; García-Melián, J.; Quaas, A.
2018
A Hopf’s lemma and a strong minimum principle for the fractional $$p$$-Laplacian. Zbl 1362.35061
Del Pezzo, Leandro M.; Quaas, Alexander
2017
Monotonicity of solutions for some nonlocal elliptic problems in half-spaces. Zbl 1371.35105
Barrios, B.; Del Pezzo, L.; García-Melián, J.; Quaas, A.
2017
Existence and uniqueness of positive solutions for a class of logistic type elliptic equations in $$\mathbb{R}^N$$ involving fractional Laplacian. Zbl 1365.35220
Xia, Aliang; Quaas, Alexander
2017
On critical exponents for Lane-Emden-Fowler-type equations with a singular extremal operator. Zbl 1398.35054
González-Melendez, Osiris; Quaas, Alexander
2017
Non-resonant Fredholm alternative and anti-maximum principle for the fractional $$p$$-Laplacian. Zbl 1366.35216
Del Pezzo, Leandro M.; Quaas, Alexander
2017
A Liouville theorem for indefinite fractional diffusion equations and its application to existence of solutions. Zbl 1368.45007
Barrios, Begoña; Del Pezzo, Leandro; García-Melián, Jorge; Quaas, Alexander
2017
Continuous viscosity solutions for nonlocal Dirichlet problems with coercive gradient terms. Zbl 1377.35059
Dávila, Gonzalo; Quaas, Alexander; Topp, Erwin
2017
Global bifurcation for fractional $$p$$-Laplacian and an application. Zbl 1351.35247
Del Pezzo, Leandro M.; Quaas, Alexander
2016
A Liouville type theorem for Lane-Emden systems involving the fractional Laplacian. Zbl 1350.35046
Quaas, Alexander; Xia, Aliang
2016
Optimal Liouville theorems for supersolutions of elliptic equations with the Laplacian. Zbl 1378.35054
Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander
2016
Classification of supersolutions and Liouville theorems for some nonlinear elliptic problems. Zbl 1351.35031
Quaas, A.; García-Melián, J.; Burgos-Pérez, M. Á.
2016
Multiple positive solutions for nonlinear critical fractional elliptic equations involving sign-changing weight functions. Zbl 1431.35234
Quaas, Alexander; Xia, Aliang
2016
Nonexistence results for elliptic equations with gradient terms. Zbl 1335.35028
Alarcón, S.; Burgos-Pérez, M. Á.; García-Melián, J.; Quaas, A.
2016
Liouville type theorems for nonlinear elliptic equations and systems involving fractional Laplacian in the half space. Zbl 1316.35291
Quaas, Alexander; Xia, Aliang
2015
Large solutions to elliptic equations involving fractional Laplacian. Zbl 1456.35211
Chen, Huyuan; Felmer, Patricio; Quaas, Alexander
2015
Existence and non-existence of solutions to elliptic equations with a general convection term. Zbl 1292.35106
Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander
2014
Solvability of nonlinear elliptic equations with gradient terms. Zbl 1282.35166
Felmer, Patricio; Quaas, Alexander; Sirakov, Boyan
2013
Nonexistence of positive supersolutions to some nonlinear elliptic problems. Zbl 1291.35067
Alarcón, S.; García-Melián, J.; Quaas, A.
2013
Liouville type theorems for elliptic equations with gradient terms. Zbl 1268.35052
Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander
2013
Large viscosity solutions for some fully nonlinear equations. Zbl 1273.35120
Alarcón, S.; Quaas, A.
2013
Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian. Zbl 1290.35308
Felmer, Patricio; Quaas, Alexander; Tan, Jinggang
2012
Keller-Osserman type conditions for some elliptic problems with gradient terms. Zbl 1235.35096
Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander
2012
Boundary blow up solutions for fractional elliptic equations. Zbl 1260.35242
Felmer, Patricio; Quaas, Alexander
2012
Existence and multiplicity results for Pucci’s operators involving nonlinearities with zeros. Zbl 1258.35093
Alarcón, Salomón; Iturriaga, Leonelo; Quaas, Alexander
2012
Existence and regularity results for fully nonlinear equations with singularities. Zbl 1250.35052
Felmer, Patricio; Quaas, Alexander; Sirakov, Boyan
2012
Existence and uniqueness of solutions of nonlinear elliptic equations without growth conditions at infinity. Zbl 1308.35102
Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander
2012
Fundamental solutions and Liouville type theorems for nonlinear integral operators. Zbl 1209.45009
Felmer, Patricio; Quaas, Alexander
2011
Fundamental solutions for a class of Isaacs integral operators. Zbl 1228.47047
Felmer, Patricio; Quaas, Alexander
2011
Fujita type exponent for fully nonlinear parabolic equations and existence results. Zbl 1218.35027
Meneses, Rodrigo; Quaas, Alexander
2011
Multiplicity results for extremal operators through bifurcation. Zbl 1209.35038
Allendes, Alejandro; Quaas, Alexander
2011
Harnack inequality for singular fully nonlinear operators and some existence results. Zbl 1204.35088
Dávila, Gonzalo; Felmer, Patricio; Quaas, Alexander
2010
Superlinear elliptic equation for fully nonlinear operators without growth restrictions for the data. Zbl 1228.35102
Esteban, Maria J.; Felmer, Patricio L.; Quaas, Alexander
2010
Landesman-Lazer type results for second order Hamilton-Jacobi-Bellman equations. Zbl 1190.35223
Felmer, Patricio; Quaas, Alexander; Sirakov, Boyan
2010
Resonance phenomena for second-order stochastic control equations. Zbl 1210.35273
Felmer, Patricio; Quaas, Alexander; Sirakov, Boyan
2010
Eigenvalues for radially symmetric fully nonlinear operators. Zbl 1206.35186
Esteban, Maria J.; Felmer, Patricio; Quaas, Alexander
2010
Large number of fast decay ground states to Matukuma-type equations. Zbl 1187.35077
Alarcón, Salomón; Quaas, Alexander
2010
Fundamental solutions and two properties of elliptic maximal and minimal operators. Zbl 1181.35090
Felmer, Patricio L.; Quaas, Alexander
2009
Alexandroff-Bakelman-Pucci estimate for singular or degenerate fully nonlinear elliptic equations. Zbl 1180.35230
Dávila, Gonzalo; Felmer, Patricio; Quaas, Alexander
2009
A note on the strong maximum principle and the compact support principle. Zbl 1157.35018
Felmer, Patricio; Montenegro, Marcelo; Quaas, Alexander
2009
Existence and non-existence results for fully nonlinear elliptic systems. Zbl 1208.35043
Quaas, Alexander; Sirakov, Boyan
2009
On the complex structure of positive solutions to Matukuma-type equations. Zbl 1175.35051
Felmer, Patricio; Quaas, Alexander; Tang, Moxun
2009
Random dynamics of gene transcription activation in single cells. Zbl 1180.92025
Felmer, Patricio L.; Quaas, Alexander; Tang, Moxun; Yu, Jianshe
2009
Principal eigenvalues and the Dirichlet problem for fully nonlinear elliptic operators. Zbl 1143.35077
Quaas, Alexander; Sirakov, Boyan
2008
Monotonicity properties for ground states of the scalar field equation. Zbl 1136.35032
Felmer, Patricio L.; Quaas, Alexander; Tang, Moxun; Yu, Jianshe
2008
Solvability of monotone systems of fully nonlinear elliptic PDE’s. Zbl 1147.35317
Quaas, Alexander; Sirakov, Boyan
2008
Large critical exponents for some second order uniformly elliptic operators. Zbl 1187.35071
Esteban, Maria J.; Felmer, Patricio L.; Quaas, Alexander
2007
Existence results for nonproper elliptic equations involving the Pucci operator. Zbl 1237.35056
Quaas, Alexander; Sirakov, Boyan
2006
On the principal eigenvalues and the Dirichlet problem for fully nonlinear operators. Zbl 1134.35048
Quaas, Alexander; Sirakov, Boyan
2006
On uniqueness for nonlinear elliptic equation involving the Pucci’s extremal operator. Zbl 1245.35038
Felmer, Patricio L.; Quaas, Alexander; Tang, Moxun
2006
Critical exponents for uniformly elliptic extremal operators. Zbl 1281.35036
Felmer, Patricio L.; Quaas, Alexander
2006
Some recent results on equations involving the Pucci’s extremal operators. Zbl 1231.35017
Felmer, Patricio; Quaas, Alexander
2006
Nonlinear eigenvalues and bifurcation problems for Pucci’s operators. Zbl 1205.35087
Busca, Jérôme; Esteban, Maria J.; Quaas, Alexander
2005
Positive radial solutions to a {\ semilinear\'} equation involving the Pucci’s operator. Zbl 1070.34032
Felmer, Patricio L.; Quaas, Alexander
2004
Existence of a positive solution to a “semilinear” equation involving Pucci’s operator in a convex domain. Zbl 1174.35373
Quaas, Alexander
2004
On critical exponents for the Pucci’s extremal operators. Zbl 1274.35115
Felmer, Patricio L.; Quaas, Alexander
2003
Critical exponents for the Pucci’s extremal operators. Zbl 1032.35069
Felmer, Patricio L.; Quaas, Alexander
2002
On the strong maximum principle for quasilinear elliptic equations and systems. Zbl 1223.35096
Felmer, Patricio L.; Quaas, Alexander
2002
Qualitative properties for semilinear elliptic systems with non-Lipschitz nonlinearity. Zbl 1012.35024
Busca, Jérôme; Quaas, Alexander
2002
all top 5

### Cited by 782 Authors

 54 Quaas, Alexander 46 Ambrosio, Vincenzo 24 Felmer, Patricio L. 19 García-Melián, Jorge 18 Sirakov, Boyan Slavchev 18 Tang, Xianhua 14 Alves, Claudianor Oliveira 14 Chen, Huyuan 14 Torres Ledesma, César Enrique 13 Pucci, Patrizia 13 Zhang, Binlin 12 Birindelli, Isabeau 12 Biswas, Anup 11 Squassina, Marco 11 Teng, Kaimin 10 Barrios Barrera, Begoña 10 Isernia, Teresa 10 Leoni, Fabiana 10 Miyagaki, Olimpio Hiroshi 10 Vitolo, Antonio 9 Alarcón, Salomón 9 Chen, Sitong 9 Del Pezzo, Leandro M. 9 Galise, Giulio 9 He, Xiaoming 9 Rădulescu, Vicenţiu D. 9 Yu, Jian-She 9 Zhang, Jihui 8 Ikoma, Norihisa 8 Niu, Miaomiao 8 Shang, Xudong 8 Tang, Zhongwei 8 Xiang, Mingqi 7 Bhakta, Mousomi 7 Demengel, Françoise 7 Figueiredo, Giovany Malcher 7 Topp, Erwin 7 Zou, Wenming 6 Armstrong, Scott N. 6 Esfahani, Amin 6 Franca, Matteo 6 Giacomoni, Jacques 6 Hajaiej, Hichem 6 Liu, Weiming 6 Mohammed, Ahmed 6 Montoro, Luigi 6 Nguyen Phuoc Tai 6 Secchi, Simone 6 Siciliano, Gaetano 6 Tang, Moxun 6 Xia, Aliang 5 Ao, Weiwei 5 Arapostathis, Aristotle 5 Burgos-Pérez, M. Á. 5 Charro, Fernando 5 d’Avenia, Pietro 5 Dávila, Gonzalo 5 de Albuquerque, José Carlos 5 Duong, Anh Tuan 5 Iturriaga, Leonelo 5 Jarohs, Sven 5 Luo, Huxiao 5 Nyamoradi, Nemat 5 Peng, Shuangjie 5 Rossi, Julio Daniel 5 Souplet, Philippe 5 Sun, Hongrui 5 Teixeira, Eduardo V. O. 5 Verma, Ram Baran 5 Véron, Laurent 5 Yang, Jing 5 Zhang, Xia 4 Abatangelo, Nicola 4 Bueno, Hamilton P. 4 Chen, Wenxiong 4 Dai, Guowei 4 de Souza, Manassés 4 Do Ó, João M. Bezerra 4 Farina, Alberto 4 Filippucci, Roberta 4 Gao, Zu 4 García-Huidobro, Marta 4 Ge, Bin 4 Guo, Qing 4 Iannizzotto, Antonio 4 Long, Wei 4 Nornberg, Gabrielle 4 Pacella, Filomena 4 Peral Alonso, Ireneo 4 Sciunzi, Berardino 4 Sfecci, Andrea 4 Shen, Liejun 4 Skrypnik, Igor Igorievich 4 Sreenadh, Konijeti 4 Tyagi, Jagmohan 4 Valdinoci, Enrico 4 Wei, Juncheng 4 Wu, Xian 4 Yang, Bianxia 4 Yang, Jianfu ...and 682 more Authors
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### Cited in 150 Serials

 58 Journal of Differential Equations 57 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 40 Discrete and Continuous Dynamical Systems 35 Communications on Pure and Applied Analysis 34 Journal of Mathematical Analysis and Applications 32 Calculus of Variations and Partial Differential Equations 23 Complex Variables and Elliptic Equations 22 Journal of Mathematical Physics 17 NoDEA. Nonlinear Differential Equations and Applications 15 Advanced Nonlinear Studies 14 Computers & Mathematics with Applications 14 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Communications in Partial Differential Equations 12 Applicable Analysis 12 Mathematische Annalen 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 12 Boundary Value Problems 11 Communications in Contemporary Mathematics 11 Advances in Nonlinear Analysis 10 Journal of Functional Analysis 10 Mediterranean Journal of Mathematics 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Journal of Dynamics and Differential Equations 8 Topological Methods in Nonlinear Analysis 8 Nonlinear Analysis. Real World Applications 8 Science China. Mathematics 7 Mathematical Methods in the Applied Sciences 7 Nonlinearity 7 Applied Mathematics Letters 7 Potential Analysis 6 Archive for Rational Mechanics and Analysis 6 Advances in Mathematics 6 Proceedings of the American Mathematical Society 6 Fractional Calculus & Applied Analysis 6 Discrete and Continuous Dynamical Systems. Series B 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 The Journal of Geometric Analysis 5 Electronic Journal of Differential Equations (EJDE) 5 Milan Journal of Mathematics 4 Zeitschrift für Analysis und ihre Anwendungen 4 Revista Matemática Iberoamericana 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Taiwanese Journal of Mathematics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Fixed Point Theory and Applications 3 Journal d’Analyse Mathématique 3 Journal of Mathematical Biology 3 Chaos, Solitons and Fractals 3 Applied Mathematics and Computation 3 Manuscripta Mathematica 3 SIAM Journal on Control and Optimization 3 Transactions of the American Mathematical Society 3 Systems & Control Letters 3 Journal of Scientific Computing 3 SIAM Journal on Mathematical Analysis 3 Annales Academiae Scientiarum Fennicae. Mathematica 3 Abstract and Applied Analysis 3 Journal of Inequalities and Applications 3 Annales Henri Poincaré 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Advances in Difference Equations 3 Discrete and Continuous Dynamical Systems. Series S 3 Advances in Mathematical Physics 3 Journal of Pseudo-Differential Operators and Applications 3 Analysis and Mathematical Physics 3 Journal of Applied Analysis and Computation 3 Journal of Elliptic and Parabolic Equations 3 AIMS Mathematics 3 SN Partial Differential Equations and Applications 2 Communications in Mathematical Physics 2 Communications on Pure and Applied Mathematics 2 Israel Journal of Mathematics 2 Rocky Mountain Journal of Mathematics 2 Annales Polonici Mathematici 2 Applied Mathematics and Optimization 2 Collectanea Mathematica 2 Journal of the Korean Mathematical Society 2 Mathematische Zeitschrift 2 Pacific Journal of Mathematics 2 Acta Applicandae Mathematicae 2 Acta Mathematicae Applicatae Sinica. English Series 2 Asymptotic Analysis 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Opuscula Mathematica 2 Advances in Differential Equations 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Nonlinear Science and Applications 2 Open Mathematics 1 Bulletin of the Australian Mathematical Society 1 Indian Journal of Pure & Applied Mathematics 1 Theoretical and Mathematical Physics 1 Bulletin of Mathematical Biology 1 Funkcialaj Ekvacioj. Serio Internacia 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Le Matematiche ...and 50 more Serials
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### Cited in 35 Fields

 777 Partial differential equations (35-XX) 76 Operator theory (47-XX) 45 Global analysis, analysis on manifolds (58-XX) 37 Integral equations (45-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 19 Ordinary differential equations (34-XX) 18 Probability theory and stochastic processes (60-XX) 18 Numerical analysis (65-XX) 17 Real functions (26-XX) 15 Functional analysis (46-XX) 14 Quantum theory (81-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Biology and other natural sciences (92-XX) 9 Systems theory; control (93-XX) 7 Differential geometry (53-XX) 5 Potential theory (31-XX) 4 Algebraic topology (55-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Difference and functional equations (39-XX) 3 Fluid mechanics (76-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)