On a class of mixed local and nonlocal semilinear elliptic equation with singular nonlinearity

Autor: Prashanta Garain
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Popis: In this article, we consider a combination of local and nonlocal Laplace equation with singular nonlinearities. For such mixed problems, we establish existence of at least one weak solution for a parameter dependent singular nonlinearity and existence of multiple solution for purturbed singular nonlinearity. Our argument is based on the variational and approximation approach.
20 pages. arXiv admin note: substantial text overlap with arXiv:2112.13294
Databáze: OpenAIRE