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arXiv · 2306.10639

A problem involving competing and intrinsic operators

Aldo H. S. Medeiros·Dumitru Motreanu
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Abstract

The main result establishes the existence of a solution in a generalized sense for a nonlinear Dirichlet problem driven by a competing operator and exhibiting a convection term composed with an intrinsic operator. A finite dimensional approximation is constructed. Applications regarding nonhomogeneous Dirichlet problems and equations with convolution are given by choosing an adequate intrinsic operator.

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Aldo H. S. Medeiros, Dumitru Motreanu. 2023-06-18. A problem involving competing and intrinsic operators. https://arxiv.org/abs/2306.10639

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