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

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Publication:353992
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DOI10.1007/s12044-011-0012-0zbMath1295.34026OpenAlexW2049311856MaRDI QIDQ353992

Marek Galewski

Publication date: 17 July 2013

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

Full work available at URL: https://doi.org/10.1007/s12044-011-0012-0


zbMATH Keywords

Dirichlet problemexistence of solutionsstability of solutionsdual variational method


Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)




Cites Work

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  • On existence and stability of solutions for higher order semilinear Dirichlet problems
  • Existence and multiplicity of solutions of a kind of fourth-order boundary value problem
  • Existence of solutions for some nonlinear beam equations
  • Existence, multiplicity and infinite solvability of positive solutions to a nonlinear fourth-order periodic boundary value 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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