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On a nonresonance condition between the first and the second eigenvalues for the \(p\)-Laplacian

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Publication:1599770
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DOI10.1155/S0161171201004628zbMath1010.35046MaRDI QIDQ1599770

Aomar Anane, Najib Tsouli

Publication date: 22 May 2003

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/49945

zbMATH Keywords

nonresonance conditionquasilinear elliptic operator\(p\)-Laplacians


Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Spectral theory and eigenvalue problems for partial differential equations (35P99) Resonance in context of PDEs (35B34)


Related Items

Existence of solutions for a p-Laplacian system with a nonresonance condition between the first and the second eigenvalues, The behavior of the best Sobolev trace constant and extremals in thin domains., Non-resonant Fredholm alternative and anti-maximum principle for the fractional \(p\)-Laplacian, On a critical point theorem and an application to a nonresonance problem between two eigenvalues of the \(p\)-Laplacian, Nonresonance conditions for generalised \(\phi\)-Laplacian problems with jumping nonlinearities



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