Anisotropic elliptic equations with gradient-dependent lower order terms and $ L^1 $ data
We prove the existence of a weak solution for a general class of Dirichlet anisotropic elliptic problems such as $ \mathcal Au+\Phi(x, u, \nabla u) = \mathfrak{B}u+f $ in $ \Omega $, where $ \Omega $ is a bounded open subset of $ \mathbb R^N $ and $ f\in L^1(\Omega) $ is arbitrary. The principal par...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
AIMS Press
2023-09-01
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Series: | Mathematics in Engineering |
Subjects: | |
Online Access: | https://www.aimspress.com/article/doi/10.3934/mine.2023073?viewType=HTML |