Two minimax theorems and the solutions of semilinear equations under the asymptotic non-uniformity conditions

DOI10.1016/J.NA.2005.02.125zbMath1106.49012OpenAlexW2073904774MaRDI QIDQ2581736

Shen Zuhe, Huang Wenhua

Publication date: 10 January 2006

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.02.125

zbMATH Keywords

\(\varphi\)-strongly convex functional

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Existence of solutions for minimax problems (49J35)

Related Items (2)

The existence and uniqueness of solution of Duffing equations with non-\(C^{2}\) perturbation functional at nonresonance ⋮ The solution of two-point boundary value problem of a class of Duffing-type systems with non-\(C^1\) perturbation term

Cites Work

• On the unique solvability of semi-linear operator equations in Hilbert spaces
• A mini max theorem and applications to nonresonance problems for semilinear equations
• Seminar on Atiyah-Singer Index Theorem. (AM-57)
• Unnamed Item
• Unnamed Item

This page was built for publication: Two minimax theorems and the solutions of semilinear equations under the asymptotic non-uniformity conditions