Nontrivial Solutions of Semilinear Elliptic Equations with Continuous or Discontinuous Nonlinearities

DOI10.2307/2159760zbMath0769.35021OpenAlexW4232146721MaRDI QIDQ4022144

Noriko Mizoguchi

Publication date: 17 January 1993

Full work available at URL: https://doi.org/10.2307/2159760

zbMATH Keywords

Dirichlet boundary conditionresonancediscontinuous nonlinearity

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Nonlinear boundary value problems for linear elliptic equations (35J65)

Cites Work

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• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Dual variational methods in critical point theory and applications
• Multiple Nontrivial Solutions of Resonant and Nonresonant Asymptotically Linear Problems
• Nontrivial solutions of operator equations and Morse indices of critical points of min-max type
• A reduction method for some nonlinear dirichlet problems
• Existence of nontrivial solutions of partial differential equations with discontinuous nonlinearities
• A New Approach to Lagrange Multipliers
• Existence of nontrivial solutions of semilinear elliptic equations

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