Some remarks on a three critical points theorem
By Gabriele Bonanno. 2003
172 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/7ee8041e7f53c211f2829db6d2479a09d2051d57
How researchers see this paper
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In Applied Mathematics
- Pasquale Candito
- Diego Averna
- Gabriele Bonanno
- Csaba Varga
- Alexandru Kristály
- Hannelore Lisei
- Giuseppina D'Aguì
- Antonia Chinnì
In Computational Theory and Mathematics
- Pasquale Candito
- Diego Averna
- Gabriele Bonanno
- Csaba Varga
- Alexandru Kristály
- Giuseppina D'Aguì
- Guowei Dai
- Antonia Chinnì
In Geometry and Topology
Citations in the corpus
- A three critical points theorem and its applications to the ordinary Dirichlet problem (2003, methodology): “Very recently, another three critical point theorem was established (Theorem 2.1 of [ 7 ]), which provides an upper bound for ⁄.”
- Multiple solutions for p-Laplacian type equations (2008, background): “The proof of our main result (Theorem 2.1) is based on a recent abstract critical point theorem proved by Bonanno [1] which is an extension of the famous result of Ricceri [6,7].”
- Multiple solutions for an eigenvalue problem involving p-Laplacian type operators (2012, unknown): “See also [4–15].”
- Multiple solutions for a Neumann problem involving the p(x)-Laplacian (2009, unknown): “3 of [8],we have sup λ∈R inf x∈X (Ψ (u)+ λ(σ − Jf (u))) < inf x∈X sup λ∈[0,b] (Ψ (u)+ λ(σ − Jf (u))).”
- Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities (2008, background): “3) as, for instance, those studied in [4,9,12,13,23,24,37,41, 42] owing to critical points theorems established in [2,5,6,8], and, hence, in these problems the existence of three solutions without any asymptotic condition can be investigated.”
- Existence of three solutions for a non-homogeneous Neumann problem through Orlicz–Sobolev spaces (2011, unknown): “We refer, for instance, to [31–36] and references therein for details.”