Existence of multiple solutions to nonlinear elliptic equations of nondivergence form

DOI10.1006/jmaa.1995.1040zbMath0828.35048OpenAlexW2018948597MaRDI QIDQ1892495

Xu-Jia Wang, Yin-Bing Deng

Publication date: 14 January 1996

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1995.1040

zbMATH Keywords

multiple solutionsdegree theory

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) A priori estimates in context of PDEs (35B45)

Related Items (14)

Nonzero positive solutions of elliptic systems with gradient dependence and functional BCs ⋮ A priori estimates and existence of positive solutions for strongly nonlinear problems ⋮ Liouville-type theorems and existence of solutions for quasilinear elliptic equations with nonlinear gradient terms ⋮ Positive and negative solutions of a quasi-linear elliptic equation by a mountain pass method and truncature techniques ⋮ Existence of solution to Kirchhoff type problem with gradient nonlinearity and a perturbation term ⋮ Periodic solutions for extended Fisher-Kolmogorov and Swift-Hohenberg equations by truncature techniques ⋮ Sign-changing solutions for semilinear elliptic equations with dependence on the gradient via the Nehari method ⋮ Influence of Gradient Terms on the Existence of Solutions to the Dirichlet Problem for p-Laplacian ⋮ Existence of positive solutions for the \(p(x)\)-Laplacian equation ⋮ Existence of positive solutions for the \(p\)-Laplacian with \(p\)-gradient term ⋮ Quasilinear equations with dependence on the gradient via mountain pass techniques in \(\mathbb R^N\) ⋮ Radially Symmetric Solutions of the p-Laplace Equation with Gradient Terms ⋮ Electrorheological Fluids Equations Involving Variable Exponent with Dependence on the Gradient via Mountain Pass Techniques ⋮ Existence results and a priori estimates for solutions of quasilinear problems with gradient terms

This page was built for publication: Existence of multiple solutions to nonlinear elliptic equations of nondivergence form