Critical point theorems and applications to nonlinear boundary value problems
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Publication:3487757
DOI10.1016/0362-546X(90)90081-QzbMath0706.34019OpenAlexW1976017012MaRDI QIDQ3487757
David Arcoya, Antonio Cañada Villar
Publication date: 1990
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(90)90081-q
Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear boundary value problems for ordinary differential equations (34B15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)
Related Items (10)
The dual variational principle and discontinuos elliptic problems with strong resonance at infinity ⋮ A note on the existence of global minimum for a noncoercive functional ⋮ Remarks on a resonant problem with an unbounded nonlinearity ⋮ Topological characteristics of extremals of variational problems ⋮ On global dynamics of reaction-diffusion systems at resonance ⋮ Three solutions for a strongly resonant elliptic problem ⋮ Problems at resonance for equations with periodic nonlinearities. ⋮ Nontrivial solutions for a multivalued problem with strong resonance ⋮ Asymptotic analysis of oscillating parametric integrals and ordinary boundary value problems at resonance ⋮ Periodic perturbations of a class of resonant problems
Cites Work
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- Multiple solutions of the periodic boundary value problem for some forced pendulum-type equations
- On the use of asymptotics in nonlinear boundary value problems
- On the solvability of some elliptic partial differential equations with the linear part at resonance
- Periodic solutions of dynamical systems with bounded potential
- A note on a resonance problem
- A boundary value problem with a periodic nonlinearity
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