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An application of a linking method to a general elliptic system
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In this work, we consider an elliptic system of three equations in dimension greater than one. We prove that the system has at least three nontrivial solutions by applying a linking theorem.
Abstract
In this work, we consider an elliptic system of three equations in dimension greater than one. We prove that the system has at least three nontrivial solutions by applying a linking theorem.
참고문헌 (6)
- A.M. Micheletti, "Multiple solutions for an asymptotically linear prob-lem in RN", Nonlinear Anal., 56(1), pp.1~18 (2004)
- A. Szulkin, "Critical point theory of Ljusterni-Schnirelmann type and applications to partial differential equations", Sem. Math. Sup., 107, pp.35~96 (1989), Presses Univ. Montreal
- D. Lupo, "Two applications of a three critical points theorem", J. Differential Equations, 132(2), pp.222~238 (1996)
- Partial differential equations, "Evans, Lawrence C.", American Mathematical Soci-ety, ~ (1998)
- Nontrivial solutions of nonlinear elliptic equations and elliptic sys-tems, "Jin Yinghua", Inha U., ~ (2004)
- Zou, Wenming, "Multiple solutions for asymptotically linear elliptic systems", J. Math. Anal. Appl., 255(1), pp.213~229 (2001)
관련 논문AI추천
Nontrivial solutions for an elliptic system남혜원, 이성철강원경기수학회 · 한국수학논문집2015 · 제23권 제1호Multiplicity of solutions of elliptic system using two critical point theorem남혜원강원경기수학회 · 한국수학논문집2017 · 제25권 제4호Application of linking for an elliptic system남혜원강원경기수학회 · 한국수학논문집2009 · 제17권 제2호Existence of solutions for elliptic system with nonlinearities under the Dirichlet boundary condition남혜원강원경기수학회 · 한국수학논문집2015 · 제23권 제4호MULTIPLICITY RESULTS FOR THE ELLIPTIC SYSTEM USING THE MINIMAX THEOREM남혜원강원경기수학회 · 한국수학논문집2008 · 제16권 제4호Ground state solutions of non-resonant cooperative elliptic systems with superlinear termsGuanwei Chen대한수학회 · 대한수학회보2014 · 제51권 제3호
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