(p,2)-equations asymmetric at both zero and infinity
We consider a (p,2){(p,2)}-equation, that is, a nonlinear nonhomogeneous elliptic equation driven by the sum of a p-Laplacian and a Laplacian with p>2{p>2}. The reaction term is (p-1){(p-1)}-linear, but exhibits asymmetric behavior at ±∞{\pm\infty} and at 0±{0^{\pm}}. Using variational tools,...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2018-08-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2017-0195 |
| Summary: | We consider a (p,2){(p,2)}-equation, that is, a nonlinear nonhomogeneous elliptic equation driven by the sum of a p-Laplacian and a Laplacian with p>2{p>2}. The reaction term is (p-1){(p-1)}-linear, but exhibits asymmetric behavior at ±∞{\pm\infty} and at 0±{0^{\pm}}. Using variational tools, together with truncation and comparison techniques and Morse theory, we prove two multiplicity theorems, one of them providing sign information for all the solutions (positive, negative, nodal). |
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| ISSN: | 2191-9496 2191-950X |