arXiv:1905.01174 Abstract | arXiv Analytics

arXiv:1905.01174 [math.AP]Abstract References Reviews Resources

Existence and uniqueness results for double phase problems with convection term

Published 2019-05-03Version 1

In this paper we consider quasilinear elliptic equations with double phase phenomena and a reaction term depending on the gradient. Under quite general assumptions on the convection term we prove the existence of a weak solution by applying the theory of pseudomonotone operators. Imposing some linear conditions on the gradient variable the uniqueness of the solution is obtained.

Categories: math.AP

Keywords: double phase problems, convection term, uniqueness results, quasilinear elliptic equations, linear conditions

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