Indefinite perturbations of the eigenvalue problem for the nonautonomous \(p\)-Laplacian

DOI10.1007/S00032-023-00385-2zbMath1530.35170OpenAlexW4385366385MaRDI QIDQ6066112

Xueying Sun, Vicenţiu D. Rădulescu, Nikolaos S. Papageorgiou

Publication date: 15 November 2023

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-023-00385-2

zbMATH Keywords

eigenvalue problem\(p\)-Laplacianindefinite nonlinearity

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Perturbations in context of PDEs (35B20) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Brezis-Oswald result for quasilinear Robin problems
• An introduction to \(\Gamma\)-convergence
• Entire solutions of semilinear elliptic equations
• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• Existence of solutions for semi-linear equations involving the \(p\)-Laplacian: the non coercive case
• Anisotropic singular double Phase Dirichlet problems
• Constant sign and nodal solutions for superlinear double phase problems
• \(A\)-harmonic Picone's identity with applications
• Bifurcation from simple eigenvalues
• Boundary regularity for solutions of degenerate elliptic equations
• Positive solutions for the p-Laplacian: application of the fibrering method
• SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
• Nonlinear Analysis - Theory and Methods
• Research Topics in Analysis, Volume I
• Multiple solutions for parametric double phase Dirichlet problems
• A bifurcation theorem for potential operators

This page was built for publication: Indefinite perturbations of the eigenvalue problem for the nonautonomous \(p\)-Laplacian