Existence of stable and unstable solutions for semilinear parabolic problems with a jumping nonlinearity

DOI10.1016/0362-546X(94)00284-OzbMath0902.35057OpenAlexW2075145488MaRDI QIDQ4878310

Wan Se Kim, Norimichi Hirano

Publication date: 15 December 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)00284-o

zbMATH Keywords

multiplicity and stability (instability) of periodic solutions

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Periodic solutions to PDEs (35B10)

Related Items (3)

Periodic solutions of a parabolic equation with homogeneous Dirichlet boundary condition and linearly increasing discontinuous nonlinearity ⋮ Multiplicity result for semilinear dissipative hyperbolic equations ⋮ Unstable periodic solutions of a parabolic problem in the presence of non-well-ordered lower and upper solutions

Cites Work

• On nontrivial solutions of a Dirichlet problem whose jumping nonlinearity crosses a multiple eigenvalue
• Nonmonotone perturbations for nonlinear parabolic equations associated with subdifferential operators, periodic problems
• Discrete order preserving semigroups and stability for periodic parabolic differential equations
• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• A multiplicity result for a class of elliptic boundary value problems
• Differential equations and convergence almost everywhere in strongly monotone semiflows
• On the principal eigenvalue of a periodic-parabolic operator
• Multiplicity results for a semilinear boundary value problem with the nonlinearity crossing higher Eigenvalues
• Nontrivial solutions of operator equations and Morse indices of critical points of min-max type
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