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Existence and uniqueness results for double phase problems with convection term (1905.01174v2)
Published 3 May 2019 in math.AP
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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