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...

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Bibliographic Details
Main Authors: Barbara Brandolini, Florica C. Cîrstea
Format: Article
Language:English
Published: AIMS Press 2023-09-01
Series:Mathematics in Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mine.2023073?viewType=HTML