Dirichlet problems with anisotropic principal part involving unbounded coefficients
DOI:
https://doi.org/10.58997/ejde.2024.11Keywords:
Anisotropic elliptic equation; anisotropic Sobolev space; unbounded coefficient; bounded solution; truncation; pseudomonotone operator.Abstract
This article establishes the existence of solutions in a weak sense for a quasilinear Dirichlet problem exhibiting anisotropic differential operator with unbounded coefficients in the principal part and full dependence on the gradient in the lower order terms. A major part of this work focuses on the existence of a uniform bound for the solution set in the anisotropic setting. The unbounded coefficients are handled through an appropriate truncation and a priori estimates.
For more information see https://ejde.math.txstate.edu/Volumes/2024/11/abstr.html
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Copyright (c) 2024 Dumitru Motreanu, Elisabetta Tornatore
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