Multiplicity results for mixed local-nonlocal equations with singular and critical exponential nonlinearity in R²

Key Points

• The study identifies at least two positive weak solutions for mixed local-nonlocal singular problems in R^2.
• Key evidence from the findings reveals that the presence of critical exponential nonlinearity is crucial to the results.
• The approach utilizes a combination of sub-solution super-solution techniques and variational methods to draw conclusions.
• This research highlights a novel inclusion of a variable singular exponent in the context of these equations.