This analysis finds existence of solutions for elliptic PDEs with variable exponents, indicating new insights into anisotropic Sobolev spaces.
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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Mokhtar Naceri (2025) studied this question.
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