Positive solutions for the \(p\)-Laplacian involving critical and supercritical nonlinearities with zeros

DOI10.1016/j.anihpc.2009.11.003zbMath1187.35096OpenAlexW2074012492MaRDI QIDQ963053

Eugenio Massa, Sebastián Lorca, Leonelo Iturriaga

Publication date: 8 April 2010

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2009.11.003

zbMATH Keywords

positive solutionsquasilinear elliptic equations\(p\)-Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

Existence, nonexistence and multiplicity of positive solutions for the poly-Laplacian and nonlinearities with zeros ⋮ Supercritical fractional Kirchhoff type problems ⋮ BOUNDED MULTIPLE SOLUTIONS FOR -LAPLACIAN PROBLEMS WITH ARBITRARY PERTURBATIONS ⋮ Multiplicity of solutions for some semilinear problems involving nonlinearities with zeros ⋮ Positive radial solutions involving nonlinearities with zeros ⋮ A \(p\)-Laplacian supercritical Neumann problem ⋮ Existence and multiplicity results for Pucci's operators involving nonlinearities with zeros ⋮ Semilinear elliptic equations and nonlinearities with zeros ⋮ Infinitely many radial solutions for a sub-super critical \(p\)-Laplacian problem ⋮ Nonnegative solutions for the fractional Laplacian involving a nonlinearity with zeros ⋮ Positive solutions for an elliptic equation in an annulus with a superlinear nonlinearity with zeros ⋮ A concentration phenomenon for \(p\)-Laplacian equation

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