Qualitative Properties and Existence of Sign Changing Solutions with Compact Support for an Equation with a p-Laplace Operator

DOI10.1515/ans-2013-0109zbMath1277.35187arXiv1209.0614OpenAlexW2963920975MaRDI QIDQ4920726

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

Publication date: 22 May 2013

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.0614

zbMATH Keywords

Hamiltonian systemsnodesenergy methods\(p\)-Laplace operatorshooting methodnodal solutionscompact support principle

Mathematics Subject Classification ID

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) Topological dynamics of nonautonomous systems (37B55) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

Sign-changing solutions for asymptotically linear operator equations and applications, 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, The best constant for 𝐿^{∞}-type Gagliardo-Nirenberg inequalities, Existence of sign-changing radial solutions with prescribed numbers of zeros for elliptic equations with the critical exponential growth in ℝ², Multiplicity results for sign changing bound state solutions of a semilinear equation, Existence of sign changing solutions for an equation with a weighted \(p\)-Laplace operator

Cites Work

• Unnamed Item
• Bifurcation of sign-changing solutions for one-dimensional \(p\)-Laplacian with a strong singular weight: \(p\)-superlinear at \(\infty \)
• Nodal solutions of second-order boundary value problems with superlinear or sublinear non\-linearities
• Sharp conditions for the existence of sign-changing solutions to equations involving the one-dimensional \(p\)-Laplacian
• Bifurcation of sign-changing solutions for one-dimensional \(p\)-Laplacian with a strong singular weight; \(p\)-sublinear at \(\infty \)
• On the existence of multiple solutions of the boundary value problem for nonlinear second-order differential equations.
• Multiplicity results for second-order two-point boundary value problems with superlinear or sublinear nonlinearities
• Nodal solutions for a sublinear elliptic equation
• Existence results of sign-changing solutions for singular one-dimensional \(p\)-Laplacian problems
• A strong maximum principle and a compact support principle for singular elliptic inequalities