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This work investigates solution existence for quasicritical elliptic equations involving 1-Laplacian operator, highlighting effective techniques.
In this work, we investigate the existence of solutions for quasicritical elliptic equations involving the 1-Laplacian operator with Robin and Neumann boundary conditions. Assuming that the nonlinearity satisfies suitable hypotheses, we establish the existence of solutions using approximation techniques. To overcome the challenges associated with the lack of compactness, we employ the Vitali Convergence Theorem.
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Carranza et al. (2026) studied this question.
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