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EXISTENCE OF THREE SOLUTIONS FOR A CLASS OF NAVIER QUASILINEAR ELLIPTIC SYSTEMS INVOLVING THE (p1, . . . , pn)-BIHARMONIC

Lin Li
대한수학회 (The Korean Mathematical Society)|2013.01|대한수학회보 (Bulletin of the KMS)|제50권 제1호|pp. 57-71

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참고문헌

키워드

multiple solutionsthree critical points theoremwords and phrases. (p1. . .pn)-biharmonicNavier condition
주제분류수학

초록

In this paper, we establish the existence of at least three solu- tions to a Navier boundary problem involving the (p1, . . . , pn)-biharmonic systems. We use a variational approach based on a three critical points theorem due to Ricceri [B. Ricceri, A three critical points theorem revis- ited, Nonlinear Anal. 70 (2009), 3084–3089].

Abstract

In this paper, we establish the existence of at least three solu- tions to a Navier boundary problem involving the (p1, . . . , pn)-biharmonic systems. We use a variational approach based on a three critical points theorem due to Ricceri [B. Ricceri, A three critical points theorem revis- ited, Nonlinear Anal. 70 (2009), 3084–3089].

참고문헌 (23)

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관련 논문AI추천

Existence of three solutions for a Navier boundary value problem involving the p(x)-biharmonicHonghui Yin, Ying Liu대한수학회 · 대한수학회보2013 · 제50권 제6호THREE SOLUTIONS TO A CLASS OF NEUMANN DOUBLY EIGENVALUE ELLIPTIC SYSTEMS DRIVEN BY A (p1, … , pn)-LAPLACIANDonal O'Regan, Ghasem A. Afrouzi, Shapour Heidarkhani대한수학회 · 대한수학회보2010 · 제47권 제6호Multiplicity of solutions of elliptic system using two critical point theorem남혜원강원경기수학회 · 한국수학논문집2017 · 제25권 제4호Nontrivial solutions for the nonlinear biharmonic system with dirichlet boundary condition정택선, 최규흥강원경기수학회 · 한국수학논문집2010 · 제18권 제4호Three nontrivial nonnegative solutions for some critical p-Laplacian systems with lower-order negative perturbationsChang-Mu Chu, Chun-Yu Lei, Hong-Min Suo, Jiao-Jiao Sun대한수학회 · 대한수학회보2017 · 제54권 제1호EXISTENCE OF THREE SOLUTIONS FOR EQUATIONS OF p(x)-LAPLACE TYPE김연호, 이승대장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제2호

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