Multiple solutions for a polyharmonic homogeneous boundary value problem with critical exponent. Issue 12 (2nd December 2017)

• Record Type: Journal Article
• Authors: Anaya, N.; Cano, A.; Hernández-Martínez, E.
• Is Part Of: Complex variables and elliptic equations. Volume 62:Issue 12(2017)
• Page Start: 1730
• Page End: 1745
• Publication Date: 2017-12-02
• Subjects: Polyharmonic operator -- critical exponent -- multiple solutions; 31B30 -- 35B33 -- 35J30; Functions of complex variables -- Periodicals; Differential equations, Elliptic -- Periodicals; 515.905
• DOI: 10.1080/17476933.2017.1278756
• Languages: English
• ISSNs: 1747-6933

Abstract

Abstract : In this paper, we analyse the polyharmonic equation in a bounded smooth domain with homogeneous Dirichlet conditions on the boundary and critical exponents. We will obtain a relationship between the topological domain and the multiplicity of solutions. We also give symmetry properties of the solutions and a result about breaking symmetry.