Multiplicity results for mixed local-nonlocal equations with singular and critical exponential nonlinearity in R2
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 R2. Our approach is based on sub-solution super-solution technique, combined with variational methods.
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