Multiplicity of solutions for gradient systems with strong resonance at higher eigenvalues
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Publication:965001
DOI10.1016/j.na.2010.01.010zbMath1187.35061OpenAlexW2045647542MaRDI QIDQ965001
Publication date: 21 April 2010
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2010.01.010
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50) Semilinear elliptic equations (35J61) Boundary value problems for second-order elliptic systems (35J57)
Related Items
Nontrivial solutions of elliptic systems with nonlinearities may not have asymptotic limits, Multiplicity of solutions for gradient systems using Landesman-Lazer conditions, Multiplicity of solutions for gradient systems with strong resonance at higher eigenvalues
Cites Work
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- Saddle points and multiple solutions of differential equations
- Multiplicity of solutions for gradient systems with strong resonance at higher eigenvalues
- On a class of resonant problems at higher eigenvalues
- On the Morse indices of sign changing solutions of nonlinear elliptic problems
- Infinite dimensional Morse theory and multiple solution problems
- An extension of the Hess-Kato theorem to elliptic systems and its applications to multiple solution problems
- Radial symmetry of minimizers for some translation and rotation invariant functionals
- Multiplicity of solutions for gradient systems using Landesman-Lazer conditions
- Multiplicity of solutions for resonant elliptic systems
- Remarks on multiple solutions for elliptic resonant problems
- Linking theorems and applications to semilinear elliptic problems at resonance
- Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
- Nonlinear elliptic boundary-value problems in unbounded domains
- Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
- Principal eigenvalue for weight matrix in elliptic systems