Positive solutions of the \(p\)-Laplacian involving a superlinear nonlinearity with zeros

DOI10.1016/j.jde.2009.08.008zbMath1181.35117OpenAlexW2081845899MaRDI QIDQ1047680

Leonelo Iturriaga, Justino Sánchez, Pedro Ubilla, Eugenio Massa

Publication date: 5 January 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.08.008

zbMATH Keywords

asymptotic behaviorcomparison principlevariational methods\(p\)-Laplacianmultiplicity of positive solutionsLiouville-type theorems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92) Comparison principles in context of PDEs (35B51) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (20)

Global structure of positive solutions for second-order discrete Neumann problems involving a superlinear nonlinearity with zeros ⋮ Bifurcation and one-sign solutions of the \(p\)-Laplacian involving a nonlinearity with zeros ⋮ Existence, nonexistence and multiplicity of positive solutions for the poly-Laplacian and nonlinearities with zeros ⋮ Multiple ordered solutions for a class of elliptic problems involving fast increasing weights and nonlinearity with zeros ⋮ Nonlinear, nonhomogeneous Robin problems with indefinite potential and general reaction ⋮ Multiplicity of solutions for some semilinear problems involving nonlinearities with zeros ⋮ A priori bounds and multiplicity results for slightly superlinear and sublinear elliptic \(p\)-Laplacian equations ⋮ Multiple ordered solutions for a class of quasilinear problem with oscillating nonlinearity ⋮ Multiple existence results of solutions for quasilinear elliptic equations with a nonlinearity depending on a parameter ⋮ Positive radial solutions involving nonlinearities with zeros ⋮ Existence of solutions to fully nonlinear elliptic equations with gradient nonlinearity ⋮ Multiplicity of positive radial solutions of \(p\)-Laplacian problems with nonlinear gradient term ⋮ Infinitely many sign-changing solutions for \(p\)-Laplacian equation involving the critical Sobolev exponent ⋮ Existence and multiplicity results for Pucci's operators involving nonlinearities with zeros ⋮ Positive solutions for the \(p\)-Laplacian involving critical and supercritical nonlinearities with zeros ⋮ Semilinear elliptic equations and nonlinearities with zeros ⋮ Nonlinear Robin problems with a reaction of arbitrary growth ⋮ 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 ⋮ On nodal solutions for nonlinear elliptic equations with a nonhomogeneous differential operator

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