J. Vanterler da C. Sousa

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About

J. Vanterler da C. Sousa is a mathematician whose research centers on nonlinear analysis, fractional calculus, and differential equations, with particular emphasis on the p(x)-Laplacian operator and its applications. His work bridges abstract mathematical theory and real-world problems, including electrorheological fluids, image processing, robotics, and space technology. In his highly cited 2021 paper on multiplicity results for systems involving the p(x)-Laplacian, Sousa established existence and multiplicity of solutions, providing foundational insights for modeling complex physical phenomena. Though early in his career, his contributions have already garnered attention, with this paper accumulating 3 citations—a notable achievement for recent work in a specialized field. Sousa’s research is distinguished by its rigorous analytical techniques and its potential to impact both pure mathematics and applied sciences. His ongoing investigations continue to advance the understanding of variable exponent spaces and fractional operators, positioning him as an emerging voice in the mathematical community.