The \(p\)-Laplacian equation with superlinear and supercritical growth, multiplicity of radial solutions

DOI10.1016/j.na.2004.09.047zbMath1068.34012OpenAlexW1982471981MaRDI QIDQ1763866

Gabriella Bognár, Pavel Drábek

Publication date: 22 February 2005

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.2004.09.047

zbMATH Keywords

existencemultiplicityradial solutionsasymptotic behaviour\(p\)-Laplacian

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear boundary value problems for ordinary differential equations (34B15)

Related Items (8)

Infinitely many radial solutions for a \(p\)-Laplacian problem \(p\)-superlinear at the origin ⋮ Estimation on the first eigenvalue for some nonlinear Dirichlet eigenvalue problems ⋮ Entire bounded solutions for a class of quasilinear elliptic equations ⋮ A \(p\)-Laplacian supercritical Neumann problem ⋮ Non-existence and existence of entire solutions for a quasi-linear problem with singular and super-linear terms ⋮ Existence of positive solutions for a class of semilinear and quasilinear elliptic equations with supercritical case ⋮ Existence and boundary behavior of solutions to \(p\)-Laplacian elliptic equations ⋮ Infinitely many radial solutions for a sub-super critical \(p\)-Laplacian problem

Cites Work

• Radial solutions of equations and inequalities involving the \(p\)-Laplacian
• Uniqueness and nondegeneracy for some nonlinear elliptic problems in a ball.
• Multiplicity of positive solutions for \(p\)-Laplace equation with superlinear-type nonlinearity.
• A Counterexample to the Nodal Domain Conjecture and a Related Semilinear Equation
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