Existence results for nonlinear anisotropic elliptic partial differential equations with variable exponents
DOI:
https://doi.org/10.24193/subbmath.2025.3.11Keywords:
Nonlinear elliptic problem, growth conditions, Anisotropic Sobolev spaces, Variable exponents, Distributional solution, Existence.Abstract
The focus of this paper will be on studying the existence of solutions in the sense of distribution, for a class of nonlinear partial differential equations defined by a variable exponent anisotropic elliptic operator with a growth conditions given by a strictly positive continuous real function. The functional setting involves variable exponents anisotropic Sobolev spaces.
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