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EnglishWe consider a parametric Dirichlet problem driven by the sum of a p-Laplacian (p> 2) and a Laplacian (a (p, 2)-equation). The reaction consists of an asymmetric (p- 1) -linear term which is resonant as x→ - ∞, plus a concave term. However, in this case the concave term enters with a negative sign. Using variational tools together with suitable truncation techniques and Morse theory (critical groups), we show that when the parameter is small the problem has at least three nontrivial smooth solutions.
Papageorgiou N.S., Vetro C., & Vetro F. (2020). (p, 2)-Equations with a Crossing Nonlinearity and Concave Terms. APPLIED MATHEMATICS AND OPTIMIZATION, 81(1), 221-251 [10.1007/s00245-018-9482-0].
| Data di pubblicazione: | 2020 | |
| Titolo: | (p, 2)-Equations with a Crossing Nonlinearity and Concave Terms | |
| Autori: | ||
| Citazione: | Papageorgiou N.S., Vetro C., & Vetro F. (2020). (p, 2)-Equations with a Crossing Nonlinearity and Concave Terms. APPLIED MATHEMATICS AND OPTIMIZATION, 81(1), 221-251 [10.1007/s00245-018-9482-0]. | |
| Rivista: | ||
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s00245-018-9482-0 | |
| Abstract: | We consider a parametric Dirichlet problem driven by the sum of a p-Laplacian (p> 2) and a Laplacian (a (p, 2)-equation). The reaction consists of an asymmetric (p- 1) -linear term which is resonant as x→ - ∞, plus a concave term. However, in this case the concave term enters with a negative sign. Using variational tools together with suitable truncation techniques and Morse theory (critical groups), we show that when the parameter is small the problem has at least three nontrivial smooth solutions. | |
| URL: | https://link.springer.com/article/10.1007/s00245-018-9482-0 | |
| Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica | |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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http://hdl.handle.net/10447/400184
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