ON THE BEHAVIOUR OF THE FIRST EIGENFUNCTION OF THE $p$-LAPLACIAN NEAR ITS CRITICAL POINTS

DOI10.1112/S0024609303001966zbMath1023.35040OpenAlexW2146669615MaRDI QIDQ4418936

Jorge García-Mellián

Publication date: 30 July 2003

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024609303001966

zbMATH Keywords

positive solutionspositive eigenfunctionconvexity restrictions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Degenerate elliptic equations (35J70) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

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Remarks on minimizers for \((p,q)\)-Laplace equations with two parameters ⋮ Towards the optimality of the ball for the Rayleigh conjecture concerning the clamped plate

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