On the multiplicity of the solutions of the equation \(-\Delta u=\lambda \cdot f(u)\)

DOI10.1006/jdeq.2001.4057zbMath1330.35279OpenAlexW2009560207MaRDI QIDQ1614718

Jean Saint Raymond

Publication date: 8 September 2002

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2001.4057

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30)

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Cites Work

• Every superposition operator mapping one Sobolev space into another is continuous
• A general variational principle and some of its applications
• On an Elliptic Equation with Concave and Convex Nonlinearities
• Infinitely many solutions of a quasilinear elliptic problem with an oscillatory potential^∗

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