Topological degree methods for a nonlinear elliptic system with variable exponents
DOI:
https://doi.org/10.24193/subbmath.2024.4.12Keywords:
p(x)-Laplacian, operator of (S+) type, variable exponent, topological degreeAbstract
In this paper, we consider the existence of a distributional solution for nonlinear elliptic system governed by (p(x),q(x))-Laplacian operators. We show that the system has at least one solution by using the topological degree theory. Our results improve and generalize existing results with another technical approach.
Mathematics Subject Classification (2010): 35J60, 35J40, 47H11.
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