On the role played by the Fučík spectrum in the determination of critical groups in elliptic problems where the asymptotic limits may not exist
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Publication:1599975
DOI10.1016/S0362-546X(01)00125-0zbMath1012.35021MaRDI QIDQ1599975
Jiabao Su, Perera, Kanishka, Shu-Jie Li
Publication date: 22 July 2002
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Boundary value problems for second-order elliptic equations (35J25) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)
Related Items (2)
Multiple solutions for a class of semilinear elliptic problems with Robin boundary condition ⋮ Dancer-Fučik spectrum for fractional Schrödinger operators with a steep potential well on \(\mathbb{R}^N\)
Cites Work
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- Critical point theory and Hamiltonian systems
- Type II regions between curves of the Fučik spectrum and critical groups
- A generalization of the Amann-Zehnder theorem to nonresonance problems with jumping nonlinearities
- Infinite dimensional Morse theory and multiple solution problems
- Multiple solutions of asymptotically homogeneous problems
- Computation of critical groups in Fučík resonance problems.
- The Fucik spectrum and critical groups
- Computation of critical groups in elliptic boundary-value problems where the asymptotic limits may not exist
- Double resonance problems with respect to the Fucik spectrum
- Homological local linking
- Solution of nonlinear equations having asymptotic limits at zero and infinity.
- Computation of critical groups in resonance problems where the nonlinearity may not be sublinear.
- Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues
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