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arXiv · 2503.08261

Multiplicity results for mixed local-nonlocal equations with singular and critical exponential nonlinearity in R^2

Sanjit Biswas
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Abstract

In this article, we prove the existence of at least two positive weak solutions for a mixed local-nonlocal singular problem in the presence of critical exponential nonlinearity in dimension two. The novelty of this work is the inclusion of a variable singular exponent in the context of mixed operator and critical exponential nonlinearity in R^2. Our approach is based on sub-solution super-solution technique, combined with variational methods.

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Sanjit Biswas. 2025-03-11. Multiplicity results for mixed local-nonlocal equations with singular and critical exponential nonlinearity in R^2. https://arxiv.org/abs/2503.08261

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