Existência e regularidade de soluções positivas de sistemas de equações diferenciais parciais elípticas
Đã lưu trong:
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| Ngày xuất bản: | 2017 |
| Định dạng: | Master thesis |
| Ngôn ngữ: | por |
| Nguồn: | Repositório Institucional da UFG |
| Download full: | http://repositorio.bc.ufg.br/tede/handle/tede/6926 |
Tóm tắt: | In this work we study existence and regularity of non-negative solution of elliptical systems of the type 8>< >: Dpu = f (x;u;v); Dqv = g(x;u;v) in W; u;v > 0 in W; where 1 < p;q <N, W IRN is a bounded domain with smooth boundary ¶W, and f ;g are of the type singular-convex or W=IRN and f ;g are concave-convex. In case W we will find solutions that cancel out ¶W while in the case W = IRN solutions in C1(IRN)\L¥(IRN).We will use the Galerkin method and the comparison principle. In case W = IRN we will use the method of sub and super solutions, variational methods and principles of maximum. |