Three solutions to a Neumann problem for elliptic equations involving the p-Laplacian
By Gabriele Bonanno, Pasquale Candito. 2003
164 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/cb0f2c8932d5dffcc0127b70f389c8d730cd4599
How researchers see this paper
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- Nikolaos S. Papageorgiou
- Antonio Iannizzotto
- Sergiu Aizicovici
- Dumitru Motreanu
- Pasquale Candito
- Diego Averna
- V. Staicu
- Vicentiu D. Rădulescu
Citations in the corpus
- A three critical points theorem and its applications to the ordinary Dirichlet problem (2003, background): “Applications of Theorem A to nonlinear boundary value problems have been given in [2]‐[4], [ 6 ]‐[8], [12], [15], (see also [13] for the non smooth case), establishing multiplicity results for equations depending on a parameter .”
- 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.”
- Existence of multiple solutions with precise sign information for superlinear Neumann problems (2009, background): “We mention the works of Anello [3], Binding et al. [7], Bonnano and Candito [8], Filippakis et al. [16], Motreanu and Papageorgiou [26], Wu and Tan [30] and the very recent work by the authors [1].”
- Existence of three nontrivial solutions for nonlinear Neumann hemivariational inequalities (2009, background): “Among others, we mention the works of Anello [2], Barletta–Papageorgiou [3], Binding–Drabek–Huang [4], Bonanno–Candito [5], Cammaroto–Chinnì–Di Bella [7], Faraci [12], Filippakis–Gasiński–Papageorgiou [13], Marano–Motreanu [20], Motreanu–Papageorgiou [22], Ricceri [25] and Wu–Tan [28].”
- Multiple solutions for nonlinear Neumann problems driven by a nonhomogeneous differential operator (2011, background): “Some recent multiplicity results for the Neumann problem deal with equations involving the p-Laplacian, but they impose the restrictive condition p > N or are related to parameters (see [2, 7, 19, 21]).”