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https://dspace.iiti.ac.in/handle/123456789/11926
| Title: | On a Class of Mixed Local and Nonlocal Semilinear Elliptic Equation with Singular Nonlinearity |
| Authors: | Garain, Prashanta |
| Keywords: | Existence;Mixed local and nonlocal equation;Regularity;Singular nonlinearity |
| Issue Date: | 2023 |
| Publisher: | Springer |
| Citation: | Garain, P. (2023). On a class of mixed local and nonlocal semilinear elliptic equation with singular nonlinearity. Journal of Geometric Analysis, 33(7) doi:10.1007/s12220-023-01262-5 |
| 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. © 2023, Mathematica Josephina, Inc. |
| URI: | https://doi.org/10.1007/s12220-023-01262-5 https://dspace.iiti.ac.in/handle/123456789/11926 |
| ISSN: | 1050-6926 |
| Type of Material: | Journal Article |
| Appears in Collections: | Department of Mathematics |
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