Nonlinear elliptic equations with singular reaction

zbMath1347.35100MaRDI QIDQ294173

Nikolaos S. Papageorgiou, George Smyrlis

Publication date: 9 June 2016

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1461781799

zbMATH Keywords

mountain pass theoremelliptic equationsmultiplicity of positive solutionssingular reaction

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with mean curvature operator (35J93) Quasilinear elliptic equations with (p)-Laplacian (35J92)

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Existence of positive weak solutions for a nonlocal singular elliptic system ⋮ Elliptic problems with singular nonlinearities of indefinite sign ⋮ Existence of nonnegative solutions to singular elliptic problems, a variational approach ⋮ On a singular semilinear elliptic problem: multiple solutions via critical point theory ⋮ Some recent results on singular \(p\)-Laplacian equations ⋮ On a class of fully anisotropic elliptic equations ⋮ Singular elliptic problems with Dirichlet or mixed Dirichlet-Neumann non-homogeneous boundary conditions ⋮ Positive solutions of Dirichlet and homoclinic type for a class of singular equations ⋮ Parametric nonlinear singular Dirichlet problems ⋮ Elliptic bifurcation problems that are singular in the dependent and in the independent variables ⋮ Unnamed Item ⋮ Positive solutions for nonlinear Neumann problems with singular terms and convection ⋮ Positive solutions for nonlinear singular superlinear elliptic equations

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