Quasilinear elliptic system in exterior domains with dependence on the gradient |
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| Authors: | Luiz F. O. Faria Olímpio H. Miyagaki Fábio R. Pereira |
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| Affiliation: | 1. +55 2. (32) 3. 2102 4. 3308+55 5. 3315;6. Departamento de Matemática, Universidade Federal de Juiz de Fora, , Brazil;7. +55 (32) 2102 3308+55 (32) 2102 3315 |
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| Abstract: | In this paper, we deal with a quasilinear elliptic system in exterior domains with dependence on the gradient and coupling of the equations not only inside of the domain, but also on the boundary. We prove the existence of positive, negative or sign changing weak solutions. Our approach relies on an aproximation argument and an adequate elliptic “a priori” estimate. |
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| Keywords: | Elliptic system coupled nonlinear boundary condition exterior domain gradient term 35J25 35J66 35J47 35B45 35B09 |
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