A uniqueness for a superlinear eigenvalue problem

DOI10.1016/S0893-9659(99)00032-4zbMath0937.35066MaRDI QIDQ1808488

Pavel Drábek

Publication date: 25 November 1999

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

\(p\)-Laplacianbest Sobolev constantnonhomogeneous eigenvalue problemuniqueness of the positive eigenfunction

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (3)

Computing the first eigenpair of the \(p\)-Laplacian via inverse iteration of sublinear supersolutions ⋮ On the Dirichlet problem involving the equation \(-\Delta _pu=\lambda u^{s - 1}\) ⋮ A note on the nonuniqueness for some quasilinear eigenvalue problem

Cites Work

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• 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
• On Limits Of Solutions Of Elliptic Problems With Nearly Critical Exponent
• A note on the asymptotic behavior of positive solutions for some elliptic equation
• On harnack type inequalities and their application to quasilinear elliptic equations

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