Qualitative analysis of solutions of obstacle elliptic inclusion problem with fractional Laplacian
نویسندگان
چکیده
In this paper, we study an elliptic obstacle problem with a generalized fractional Laplacian and multivalued operator which is described by gradient. Under quite general assumptions on the data, employ surjectivity theorem for mappings generated sum of maximal monotone bounded pseudomonotone mapping to prove that set weak solutions nonempty, closed. Then, introduce sequence penalized problems without constraints. Finally, Kuratowski upper limit sets nonempty contained in original problem, i.e., $$\emptyset \ne w\text{- }\limsup _{n\rightarrow \infty }{\mathcal {S}}_n=s\text{- {S}}_n\subset \mathcal S$$ .
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ژورنال
عنوان ژورنال: Zeitschrift für Angewandte Mathematik und Physik
سال: 2021
ISSN: ['1420-9039', '0044-2275']
DOI: https://doi.org/10.1007/s00033-020-01460-z