Semilinear fractional elliptic equations with combined nonlinearities and measure data

Title

Semilinear fractional elliptic equations with combined nonlinearities and measure data

Creator

Badajena A.K.; Soni A.; Pradhan S.

Description

This study focuses on semilinear fractional elliptic problems with concave-convex type nonlinearities and measures as data. Suitable iteration techniques and embedding results are employed to ensure the existence and multiplicity of solutions. 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Source

Journal of Pseudo-Differential Operators and Applications, Vol-13, No. 3

Date

2022-01-01

Publisher

Birkhauser

Subject

Fractional Laplacian; Radon measure; Sub and supersolutions; Variational methods

Coverage

Badajena A.K., Department of Mathematics, NIT Rourkela, Odisha, Rourkela, 769008, India; Soni A., Department of Computational Sciences, Christ University, Delhi NCR, Ghaziabad, 201003, India; Pradhan S., Department of Mathematics, NIT Rourkela, Odisha, Rourkela, 769008, India

Rights

Restricted Access

Relation

ISSN: 16629981

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.1007/s11868-022-00466-7

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85132982409&doi=10.1007%2fs11868-022-00466-7&partnerID=40&md5=b0492b3d32db0bb94ff5f522e9459fe9