Sign-definiteness of \(q\)-eigenfunctions for a super-linear \(p\)-Laplacian eigenvalue problem

DOI10.1007/s00013-014-0674-9zbMath1317.35165OpenAlexW2075493784MaRDI QIDQ461394

Grey Ercole

Publication date: 10 October 2014

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-014-0674-9

zbMATH Keywords

\(p\)-Laplacianfirst eigenvalue\(q\)-eigenfunctionisolated eigenvaluesuper-linear problem

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (3)

Uniqueness of extremals for some sharp Poincaré-Sobolev constants ⋮ Solving an abstract nonlinear eigenvalue problem by the inverse iteration method ⋮ Positive solutions to the sublinear Lane-Emden equation are isolated

Cites Work

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• A uniqueness result for a semilinear elliptic problem: a computer-assisted proof
• Rearrangements and convexity of level sets in PDE
• Existence and nonexistence of nontrivial solutions of some nonlinear degenerate elliptic equations
• Regularity for a more general class of quasilinear equations
• An elementary proof of the uniqueness of positive radial solutions of a quasilinear Dirichlet problem
• Uniqueness theorems for positive radial solutions of quasilinear elliptic equations in a ball
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Boundary regularity for solutions of degenerate elliptic equations
• Positive eigenfunctions for the p-Laplace operator revisited
• A uniqueness result for a semilinear elliptic equation in symmetric domains

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