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On a Class of Mixed Local and Nonlocal Semilinear Elliptic Equation with Singular Nonlinearity

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Abstract

In this article, we consider a combination of local and nonlocal Laplace equation with singular nonlinearities. For such mixed problems, we establish the existence of at least one weak solution for a parameter-dependent singular nonlinearity and existence of multiple solutions for perturbed singular nonlinearity. Our argument is based on the variational and approximation approach.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Indian Institute of Science Education and Research Berhampur, Berhampur, Odisha, 760010, India

    Prashanta Garain

  2. Department of Mathematics, Indian Institute of Technology Indore, Khandwa Road, Simrol, Indore, 453552, India

    Prashanta Garain

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  1. Prashanta Garain
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Garain, P. On a Class of Mixed Local and Nonlocal Semilinear Elliptic Equation with Singular Nonlinearity. J Geom Anal 33, 212 (2023). https://doi.org/10.1007/s12220-023-01262-5

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