Double resonance problems with respect to the Fucik spectrum

DOI10.1512/iumj.2003.52.2074zbMath1030.35079OpenAlexW1967057553MaRDI QIDQ4431141

Perera, Kanishka, Schechter, Martin

Publication date: 13 October 2003

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2003.52.2074

zbMATH Keywords

double resonanceFučík spectrum

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (14)

New Linking Theorem and Sign-Changing Solutions ⋮ On bifurcation, critical groups and exact multiplicity of solutions to semilinear elliptic boundary value problems ⋮ Sign-changing and constant-sign solutions for \(p\)-Laplacian problems with jumping nonlinearities ⋮ Nonresonance conditions on the potential with respect to the Fučík spectrum for semilinear Dirichlet problems ⋮ Double linking theorem and multiple solutions. ⋮ Sign-changing solutions for a class of nonlinear elliptic problems ⋮ On Schechter's linking theorems ⋮ Sign-changing saddle point ⋮ Computation of critical groups in resonance problems where the nonlinearity may not be sublinear. ⋮ Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition ⋮ Homological approach to problems with jumping non-linearity ⋮ Existence of a non-trivial solution for the \(p\)-Laplacian equation with Fučík-type resonance at infinity. III ⋮ Fucik spectrum, sign-changing, and multiple solutions for semilinear elliptic boundary-value problems with resonance at inifinity ⋮ On the role played by the Fučík spectrum in the determination of critical groups in elliptic problems where the asymptotic limits may not exist

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