Elliptic Problems in with Critical and Singular Discontinuous Nonlinearities. Issue 12 (1st December 2016)

• Record Type: Journal Article
• Authors: Dhanya, R.; Prashanth, S.; Tiwari, Sweta; Sreenadh, K.
• Is Part Of: Complex variables and elliptic equations. Volume 61:Issue 12(2016)
• Page Start: 1656
• Page End: 1676
• Publication Date: 2016-12-01
• Subjects: Singular and critical problem -- Discontinuous nonlinearity; 35J20 -- 35J60; Functions of complex variables -- Periodicals; Differential equations, Elliptic -- Periodicals; 515.905
• DOI: 10.1080/17476933.2016.1198787
• Languages: English
• ISSNs: 1747-6933

Abstract

Abstract : Let be a bounded domain in, with smooth boundary, and be real numbers. Define and the characteristic function of a set A by . We consider the following critical problem with singular and discontinuous nonlinearity: We study the existence and the global multiplicity of solutions to the above problem.