Minimax theorems and applications to the existence and uniqueness of solutions of some differential equations

DOI10.1016/j.jmaa.2005.09.046zbMath1130.49005OpenAlexW2081451568MaRDI QIDQ2506409

Wen-Hua Huang

Publication date: 28 September 2006

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.2005.09.046

zbMATH Keywords

Hilbert spacesemilinear equationminimax theorem\(L^{2}\) spaceasymptotic un-uniformity conditionmonotone and coercive operatorpotential Carathéodory function

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence of solutions for minimax problems (49J35)

Related Items

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

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