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http://hdl.handle.net/10773/35313
Title: | Existence and multiplicity results for partial differential inclusions via nonsmooth local linking |
Author: | Iannizzotto, Antonio Staicu, Vasile |
Keywords: | p-Laplacian Partial differential inclusion Morse theory |
Issue Date: | 1-Jun-2020 |
Publisher: | Yokohama Publishers |
Abstract: | We consider a partial differential inclusion driven by the p-Laplacian and involving a nonsmooth potential, with Dirichlet boundary conditions. Under convenient assumptions on the behavior of the potential near the origin, the associated energy functional has a local linking. By means of nonsmooth Morse theory, we prove the existence of at least one or two nontrivial solutions, respectively, when the potential is p-superlinear or at most asymptotically p-linear at infinity. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/35313 |
ISSN: | 1345-4773 |
Publisher Version: | http://www.yokohamapublishers.jp/online2/opjnca/vol21/p1255.html |
Appears in Collections: | CIDMA - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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A.-Iannizzotto-V.-Staicu-Existence-and-multiplicity-results-for-partial-differential-inclusions-via-nonsmooth-local-linking-J.-Nonlinear-Convex-Anal.-2020.pdf | 144.15 kB | Adobe PDF | View/Open |
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