Multiple solutions for asymptotically \((p-1)\)-homogeneous \(p\)-Laplacian equations

DOI10.1016/j.jfa.2011.12.003zbMath1238.35029OpenAlexW2325060313WikidataQ112251807 ScholiaQ112251807MaRDI QIDQ765930

Nikolaos S. Papageorgiou, Leszek Gasiński

Publication date: 22 March 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2011.12.003

zbMATH Keywords

critical groupshomotopylocal minimizernonlinear regularity theoryantimaximum principlecritical point of mountain pass type

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Quasilinear elliptic equations with (p)-Laplacian (35J92) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

On noncoercive \((p, q)\)-equations ⋮ Multiple solutions for resonant problems of the Robin \(p\)-Laplacian plus an indefinite potential ⋮ Multiple solutions for Robin \((p,q)\)-equations plus an indefinite potential and a reaction concave near the origin

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the antimaximum principle for the \(p\)-Laplacian with indefinite weight
• Nodal and multiple constant sign solutions for resonant \(p\)-Laplacian equations with a nonsmooth potential
• Nonlinear elliptic equations with an asymptotically linear reaction term
• Critical point theory and Hamiltonian systems
• Lectures on the Ekeland variational principle with applications and detours. Lectures delivered at the Indian Institute of Science, Bangalore, India under the T.I.F.R.-I.I.Sc. programme in applications of mathematics
• Nontrivial critical groups in \(p\)-Laplacian problems via the Yang index
• The beginning of the Fučik spectrum for the \(p\)-Laplacian
• Resonance problems for the \(p\)-Laplacian
• A strong maximum principle for some quasilinear elliptic equations
• Local ``superlinearity and ``sublinearity for the \(p\)-Laplacian
• Strongly resonant quasilinear elliptic equations
• A degree theoretic approach for multiple solutions of constant sign for nonlinear elliptic equations
• Eigenvalue problems for the \(p\)-Laplacian
• Linear and quasilinear elliptic equations
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• Quasilinear elliptic equations involving critical Sobolev exponents
• Nontrivial solutions of operator equations and Morse indices of critical points of min-max type
• Boundary regularity for solutions of degenerate elliptic equations
• Solutions of asymptotically linear operator equations via morse theory
• Addendum to On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0"
• A Picone's identity for the p-Laplacian and applications
• Strong comparison principle for solutions of quasilinear equations
• EXISTENCE OF SOLUTIONS FOR ASYMPTOTICALLY ‘LINEAR’ ${p}$-LAPLACIAN EQUATIONS
• SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
• The Ambrosetti–Prodi Problem for thep-Laplace Operator
• Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
• Methods in Nonlinear Analysis
• Nontrivial Solutions forp-Laplace Equations with Right-Hand Side Havingp-Linear Growth at Infinity
• A strong maximum principle and a compact support principle for singular elliptic inequalities
• Some remarks on the Fučík spectrum of the \(p\)-Laplacian and critical groups

This page was built for publication: Multiple solutions for asymptotically \((p-1)\)-homogeneous \(p\)-Laplacian equations