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| Author(s): |
Juan Carlos Ortiz Chata
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São José do Rio Preto. 2021-08-27. |
| Institution: | Universidade Estadual Paulista (Unesp). Instituto de Biociências Letras e Ciências Exatas. São José do Rio Preto |
| Defense date: | 2021-08-16 |
| Advisor: | Marcos Tadeu de Oliveira Pimenta |
| Abstract | |
In this work, we study results of the existence of solutions for four elliptical quasilinear problems involving the 1−Laplacian operator. In the first one, we use a new version of the Mountain Pass Theorem with Cerami condition to prove a Berestycki-Lions type result for a problem involving the 1−Laplacian operator. In the next two, we study a problem involving the 1−Laplacian operator with unbounded weights, where existence results of solutions with sign and nodals are proved. In the last one, a result of the existence of a solution to a problem involving the 1−Laplacian operator and with nonlinearity of the concave-convex type was proved, where it is emphasized that for the 1−Laplacian operator, this corresponds to non-linearities of the singular type. (AU) | |
| FAPESP's process: | 17/06119-0 - Quasilinear elliptic problems in the space of functions of bounded variation |
| Grantee: | Juan Carlos Ortiz Chata |
| Support Opportunities: | Scholarships in Brazil - Doctorate |