EXISTENCE AND REGULARITY OF SOLUTIONS FOR THE ELLIPTIC NONLINEAR TRANSPARENT MEDIA EQUATION
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American Institute of Mathematical Sciences (AIMS)
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In this paper we study existence and regularity of solutions to Dirichlet problems as (Formula presented) where Ω is an open bounded subset of RN (N ≥ 2) with Lipschitz boundary, m > 0, and f belongs to the Lorentz space LN,∞(Ω). In particular, we explore the regularizing effect given by the degenerate coefficient |u|m in order to get non-trivial and bounded solutions with no smallness assumptions on the size of the data.
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Discrete and Continuous Dynamical Systems- Series A, v. 45, n. 8, p. 2485-2517, 2025.
