Existence Solution for Curl–Curl Kirchhoff Problem, By Mohsen Alimohammady

Research

Title	Existence Solution for Curl–Curl Kirchhoff Problem
Type	JournalPaper
Keywords	Kirchhoff Problem
Year	2018
Journal	international journal of applied and computational mathematics
DOI
Researchers	S R MousavianKatir ، Mohsen Alimohammady

Abstract

ABSTRACT. This paper deals with the existence solution for the nonlinear curl-curl Kirchhoff problem: M ( ∫ R3 (j∇ Uj2+V (x) jUj2)dx )( ∇∇U+V (x)U ) = 􀀀(x) jUjp􀀀1 U; R3 : (I) Our approach relies on the subspace (defocusing case) of H(curl;R3) by varia- tional method from mountain pass theorem, where V (x) 2 L 1 (R3); V (x) ⩾ 1 (a:e:) and p > 1 and M : R+ 􀀀! R+ is a continuous and increasing function.