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Absence of nontrivial solutions for a class of partial differential equations and systems in unbounded domains. (English) Zbl 1184.35002

Summary: We are interested in the study of the nonexistence of nontrivial solutions for a class of partial differential equations, in unbounded domains. This leads us to extend these results to systems of m equations. The method used is based on energy type identities.

MSC:

35A01 Existence problems for PDEs: global existence, local existence, non-existence
35G30 Boundary value problems for nonlinear higher-order PDEs
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