Nonlinear nonhomogeneous Robin problems with dependence on the gradient

DOI10.1186/s13661-018-0936-8zbMath1407.35083OpenAlexW2789519079WikidataQ112251719 ScholiaQ112251719MaRDI QIDQ1633723

Yunru Bai, Leszek Gasiński, Nikolaos S. Papageorgiou

Publication date: 20 December 2018

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-018-0936-8

zbMATH Keywords

Robin boundary conditionnonhomogeneous differential operatorLeray-Schauder alternative theoremconvection termsmooth positive solution

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Positive solutions to PDEs (35B09)

Related Items (20)

Nonlinear nonhomogeneous Dirichlet problems with singular and convection terms ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Anisotropic Navier Kirchhoff problems with convection and Laplacian dependence ⋮ Positive solutions for singular problems with multivalued convection ⋮ Positive solutions for anisotropic singular \((p,q)\)-equations ⋮ Positive solutions for nonlinear Dirichlet problems with convection ⋮ Nonlinear nonhomogeneous Robin problems with gradient dependent reaction ⋮ Singular quasilinear elliptic systems involving gradient terms ⋮ Nonlinear Dirichlet problems with sign changing drift coefficient ⋮ Positive solutions for \((p, q)\)-equations with convection and a sign-changing reaction ⋮ Positive solutions to nonlinear nonhomogeneous inclusion problems with dependence on the gradient ⋮ Multiple solutions with sign information for a class of parametric superlinear \((p, 2)\)-equations ⋮ Existence and uniqueness results for double phase problems with convection term ⋮ Unnamed Item ⋮ Multiple solutions with sign information for semilinear Neumann problems with convection ⋮ Existence of positive solutions for nonlinear Robin problems with gradient dependence ⋮ Nonlinear nonhomogeneous Robin problems with convection ⋮ Nonlinear nonhomogeneous obstacle problems with multivalued convection term

Cites Work

• Unnamed Item
• Unnamed Item
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• Coercive and noncoercive nonlinear Neumann problems with indefinite potential
• Nonlinear nonhomogeneous Robin problems with superlinear reaction term
• Positive solutions of quasi-linear elliptic equations with dependence on the gradient
• Multiplicity theorems for nonlinear nonhomogeneous Robin problems
• Positive solutions for nonlinear elliptic problems with dependence on the gradient
• Existence and multiplicity results for generalized logistic equations
• Semilinear elliptic equations with dependence on the gradient via mountain-pass techniques.
• The maximum principle
• Positive solutions for nonlinear nonhomogeneous Robin problems
• On the existence of multiple positive solutions of quasilinear elliptic eigenvalue problems
• Existence and multiplicity results for the \(p\)-Laplacian with a \(p\)-gradient term
• On the stationary solutions of generalized reaction diffusion equations with \(p\)\& \(q\)-Laplacian
• A priori estimates and existence of positive solutions for strongly nonlinear problems
• Positive and negative solutions of a quasi-linear elliptic equation by a mountain pass method and truncature techniques
• Existence of a positive solution for quasilinear elliptic equations with nonlinearity including the gradient
• Multiple solutions with precise sign for nonlinear parametric Robin problems
• Exercises in analysis. Part 1
• Comparison and Positive Solutions for Problems with the (p, q)-Laplacian and a Convection Term
• Boundary regularity for solutions of degenerate elliptic equations
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
• Existence and asymptotic properties for quasilinear elliptic equations with gradient dependence

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