abstract_carpathian_2025_41_4_937-950Abstract.
This study explores a class of elliptic problems with variable exponents, governed by the 
-Laplacian operator. A novel approach is proposed by reformulating the problem as an equivalent fixed-point problem within a suitable variable exponent space. By combining variational methods with Leray-Schauder topological degree theory, we establish the existence of weak solutions for the investigated problems.
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