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Robin Boundary Value Problems With Natural Growth Term in Variable Exponent Space

Article scientifique 2025 Anglais

Résumé

The main purpose of this paper is to investigate a nonlinear elliptic problem with a natural growth term under Robin boundary conditions. Using approximation techniques and surjectivity criteria of an operator mapping from a Banach space into its dual, we prove the existence of a sequence of weakly approximated solutions and take its limit to establish the existence of a renormalized or entropy solution for the initial problem.

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Yira, B., Konaté, I., Diop, M. (2025). Robin Boundary Value Problems With Natural Growth Term in Variable Exponent Space. https://doi.org/10.28924/2291-8639-23-2025-36

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