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.
Original language | English |
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Article number | 212 |
Journal | Journal of Geometric Analysis |
Volume | 33 |
Issue number | 7 |
DOIs | |
State | Published - 1 Jul 2023 |
Externally published | Yes |
Keywords
- Existence
- Mixed local and nonlocal equation
- Regularity
- Singular nonlinearity
ASJC Scopus subject areas
- Geometry and Topology