Morse theory applied to semilinear problems

DOI10.1080/17476933.2010.487209zbMath1271.35012OpenAlexW2052531513MaRDI QIDQ3145022

Schechter, Martin, Perera, Kanishka

Publication date: 13 December 2012

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2010.487209

zbMATH Keywords

critical groupsMorse theorynontrivial solutionssemilinear elliptic boundary value problems

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Cites Work

• A comparison principle for the porous media equation with absorption
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• A generalization of the Amann-Zehnder theorem to nonresonance problems with jumping nonlinearities
• The Fucik spectrum and critical groups
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• Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
• Multiple solutions for resonant elliptic equations via local linking theory and Morse theory
• Multiplicity results for semilinear elliptic equations with resonance at higher eigenvalues