On the solvability of resonance problems with respect to the Fučík spectrum

DOI10.1016/j.jmaa.2014.04.019zbMath1312.35058OpenAlexW1965745222MaRDI QIDQ488533

Pavel Drábek, Stephen B. Robinson

Publication date: 26 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.04.019

zbMATH Keywords

resonancesaddle point theoremFučík spectrum

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (3)

Nonresonance and resonance problems for nonlocal elliptic equations with respect to the Fučik spectrum ⋮ A new and extended variational characterization of the Fučík spectrum with application to nonresonance and resonance problems ⋮ An extended variational characterization of the Fučík spectrum for the \(p\)-Laplace operator

Cites Work

• On the Fredholm alternative for the Fučík spectrum
• Hammerstein integral equations with indefinite kernel
• On the first curve of the Fučik spectrum of an elliptic operator
• The beginning of the Fučik spectrum for the \(p\)-Laplacian
• On a variational characterization of the Fučík spectrum of the Laplacian and a superlinear Sturm–Liouville equation
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