Relations between the mountain pass theorem and local minima
By Gabriele Bonanno. 2012
132 citations recorded by the source corpus.
Abstract. Existence results of two critical points for functionals unbounded from below are established after pointing out a characterization of the mountain pass geometry. Applications to elliptic Dirichlet problems are then presented.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/6d9000771ad81e32aa26a58831659dbf4c088aed
How researchers see this paper
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In Applied Mathematics
- Giuseppina D'Aguì
- Pasquale Candito
- Gabriele Bonanno
- Antonia Chinnì
- Diego Averna
- Giovanni Molica Bisci
- Chunlei Tang
- Chun Li
In Computational Theory and Mathematics
- Giuseppina D'Aguì
- Pasquale Candito
- Antonia Chinnì
- Gabriele Bonanno
- Giovanni Molica Bisci
- Diego Averna
- Vicentiu D. Rădulescu
- Guowei Dai
Citations in the corpus
- Variational Methods on Finite Dimensional Banach Spaces and Discrete Problems (2014, methodology): “The proofs of these theorems are simpler than the corresponding infinite dimensional cases given in [4], [5] and [11], just because the finite dimensional setting is fully exploited.”
- Existence and multiplicity of weak solutions for elliptic Dirichlet problems with variable exponent (2014, background): “3 of [2].”