Existence of nontrivial solutions for semilinear problems with strictly differentiable nonlinearity

DOI10.1155/AAA/2006/62458zbMath1136.35381OpenAlexW2078225759MaRDI QIDQ2491420

Sergio Lancelotti

Publication date: 29 May 2006

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54054

zbMATH Keywords

Morse theorysemilinear elliptic problemshomological linking

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) 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) Variational methods for second-order elliptic equations (35J20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Critical point theory and Hamiltonian systems
• A Morse lemma for degenerate critical points with low differentiability
• Homotopical stability of isolated critical points of continuous functionals
• Infinite dimensional Morse theory and multiple solution problems
• Morse index estimates in min-max theorems
• Linear and quasilinear elliptic equations
• Nontrivial solutions of operator equations and Morse indices of critical points of min-max type
• Solutions of asymptotically linear operator equations via morse theory
• Morse index estimates in saddle point theorems without a finite dimensional closed loop
• Nontrivial Solutions forp-Laplace Equations with Right-Hand Side Havingp-Linear Growth at Infinity
• Applications of Morse theory to the solution of semilinear problems depending on \(C^1\) functionals

This page was built for publication: Existence of nontrivial solutions for semilinear problems with strictly differentiable nonlinearity