The existence of three positive solutions of a singular \(p\)-Laplacian problem

DOI10.1016/j.na.2011.05.065zbMath1250.35102OpenAlexW2076431193MaRDI QIDQ555103

Yuan He, Lin Zhao, Pei-Hao Zhao

Publication date: 22 July 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.05.065

zbMATH Keywords

existencemultiplicitypositive solutions\(p\)-Laplaciannonlinear elliptic equationssingular nonlinearity

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Positive solutions to PDEs (35B09) Singular elliptic equations (35J75) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (9)

On a singular semilinear elliptic problem: multiple solutions via critical point theory ⋮ Existence of multiple positive solutions for singular p‐q‐Laplacian problems with critical nonlinearities ⋮ Multiplicity of solutions for a singular problem involving the \(n\)-Laplacian ⋮ The exact boundary behavior of solutions to singular nonlinear Lane-Emden-Fowler type boundary value problems ⋮ Three solutions for a class of higher dimensional singular problems ⋮ Discontinuous perturbations of nonhomogeneous strongly-singular Kirchhoff problems ⋮ Soliton solutions for a singular Schrödinger equation with any growth exponents ⋮ Three Solutions for a Singular Quasilinear Elliptic Problem ⋮ Positive solutions for nonlinear singular superlinear elliptic equations

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