On existence and stability of solutions for higher order semilinear Dirichlet problems

DOI10.1007/s12044-008-0048-yzbMath1201.34035OpenAlexW2017830123MaRDI QIDQ732844

Marek Galewski

Publication date: 15 October 2009

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/128195

zbMATH Keywords

stabilityDirichlet problemexistence of solutionsdual variational method

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (1)

A note on existence and stability of solutions for semilinear Dirichlet problems

Cites Work

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• Existence and multiplicity of solutions of a kind of fourth-order boundary value problem
• Existence, multiplicity and infinite solvability of positive solutions to a nonlinear fourth-order periodic boundary value problem
• A Note on Stability of Solutions for Abstract Semilinear Dirichlet Problems
• New variational principle and duality for an abstract semilinear Dirichlet problem
• Bounded solutions to superlinear ODEs: a variational approach
• On the new variational principles and duality for periodic solutions of Lagrange equations with superlinear nonlinearities

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