Existence of sign changing solutions for an equation with a weighted \(p\)-Laplace operator

DOI10.1016/j.na.2014.07.016zbMath1322.34034arXiv1404.7607OpenAlexW2072332533MaRDI QIDQ743852

Carmen Cortázar, Jean Dolbeault, García-Huidobro, Marta, Raul F. Manasevich

Publication date: 1 October 2014

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

Full work available at URL: https://arxiv.org/abs/1404.7607

zbMATH Keywords

Hamiltonian systemsnodesenergy methodsaction-angle variables\(p\)-Laplace operatorcompact supportshooting methodnodal solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (8)

Multiple solutions with compact support for a quasilinear Schrödinger equation with sign-changing potentials ⋮ Qualitative properties and support compactness of solutions for quasilinear Schrödinger equation with sign changing potentials ⋮ Existence of sign-changing radial solutions with prescribed numbers of zeros for elliptic equations with the critical exponential growth in ℝ² ⋮ A lower/upper solutions result for generalised radial \(p\)-Laplacian boundary value problems ⋮ Multiplicity results for sign changing bound state solutions of a semilinear equation ⋮ A Dirichlet problem on the half-line for nonlinear equations with indefinite weight ⋮ On the structure of radial solutions for some quasilinear elliptic equations ⋮ Ground state solutions to nonlinear equations with \(p\)-Laplacian

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