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arXiv · 1905.01174

Existence and uniqueness results for double phase problems with convection term

Leszek Gasinski·Patrick Winkert
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Abstract

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.

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Leszek Gasinski, Patrick Winkert. 2019-05-03. Existence and uniqueness results for double phase problems with convection term. https://arxiv.org/abs/1905.01174

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