Multiple solutions for quasilinear elliptic problems with concave and convex nonlinearities
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913284939055104 |
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| author | Mennuni, Federica Salvatore, Addolorata |
| author_facet | Mennuni, Federica Salvatore, Addolorata |
| contents | We prove the existence of multiple signed bounded solutions for a quasilinear elliptic equation with concave and convex nonlinearities. For this, we use a variational approach in an intersection Banach space indroduced by Candela and Palmieri, and a truncation technique given by Garcia Azorero and Peral. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17821 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multiple solutions for quasilinear elliptic problems with concave and convex nonlinearities Mennuni, Federica Salvatore, Addolorata Analysis of PDEs 35J20, 35J62, 58E30 We prove the existence of multiple signed bounded solutions for a quasilinear elliptic equation with concave and convex nonlinearities. For this, we use a variational approach in an intersection Banach space indroduced by Candela and Palmieri, and a truncation technique given by Garcia Azorero and Peral. |
| title | Multiple solutions for quasilinear elliptic problems with concave and convex nonlinearities |
| topic | Analysis of PDEs 35J20, 35J62, 58E30 |
| url | https://arxiv.org/abs/2403.17821 |