THE QUANTITATIVE ANALYSIS ON THE FUCÍK SPECTRUM AND SOLVABILITY OF JUMPING NONLINEAR PROBLEMS

DOI10.1142/S0219199711004257zbMath1216.35082MaRDI QIDQ3002642

Chong Li

Publication date: 23 May 2011

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

critical groupsquantitative analysisFucík spectrumjumping nonlinear problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Variational methods applied to PDEs (35A15)

Related Items (1)

Generalized Poincaré-Hopf theorem and application to nonlinear elliptic problem

Cites Work

• Unnamed Item
• Existence of type (II) regions and convexity and concavity of potential functionals corresponding to jumping nonlinear problems
• Type (II) regions between curves of the Fučik spectrum
• Analytical and numerical results for the Fučík spectrum of the Laplacian.
• Mountain pass theorem in order intervals and multiple solutions for semilinear elliptic Dirichlet problems
• Splitting theorem, Poincaré--Hopf theorem and jumping nonlinear problems
• Dirichlet problem with indefinite nonlinearities
• Résultats d'existence et de non-existence pour certains problèmes demi-linéaires à l'infini
• An example of the Fučik spectrum
• Resonance problems with respect to the Fucík spectrum
• Minimax Systems and Critical Point Theory

This page was built for publication: THE QUANTITATIVE ANALYSIS ON THE FUCÍK SPECTRUM AND SOLVABILITY OF JUMPING NONLINEAR PROBLEMS