Nonlinear elliptic systems
In this paper we treat the question of the existence of solutions of boundary value problems for systems of nonlinear elliptic equations of the form - deltau = f (x, u, v,<FONT FACE="Symbol">Ñ</FONT>u,<FONT FACE="Symbol">Ñ</FONT>v), - deltav = g(x, u, v, <FONT FACE="Symbol">Ñ</FONT>u, <FONT FACE="Symbol">Ñ</FONT>v), in omega, We discuss several classes of such systems using both variational and topological methods. The notion of criticality takes into consideration the coupling, which plays important roles in both a priori estimates for the solutions and Palais-Smale conditions for the associated functional in the variational case.
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| Format: | Digital revista |
| Language: | English |
| Published: |
Academia Brasileira de Ciências
2000
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| Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652000000400002 |
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