Lp polyharmonic Robin problems on Lipschitz domains. Issue 10 (2nd October 2020)

• Record Type: Journal Article
• Authors: Li, Weifeng; Dang, Pei; Du, Zhihua; Guo, Guoan; Li, Yumei
• Is Part Of: Complex variables and elliptic equations. Volume 65:Issue 10(2020)
• Page Start: 1777
• Page End: 1791
• Publication Date: 2020-10-02
• Subjects: Polyharmonic equations -- Robin problems -- polyharmonic fundamental solutions -- multi-layer potentials; 31B10 -- 31B30 -- 35J40; Functions of complex variables -- Periodicals; Differential equations, Elliptic -- Periodicals; 515.905
• DOI: 10.1080/17476933.2019.1684480
• Languages: English
• ISSNs: 1747-6933

Abstract

ABSTRACT: In this paper, we study a class of boundary value problems (BVPs) with Robin conditions in some L p spaces for polyharmonic equation on Lipschitz domains. Utilizing polyharmonic fundamental solutions, these Robin BVPs are solved by the method of layer potentials. The crucial ingedients of our approach are the classical single layer potential and its higher order analog (which are called multi-layer S -potentials), and the main results generalize ones of second order (Laplacian) case to higher order (polyharmonic) case.