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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.
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참고문헌 (6)
참고문헌 신청
A. Szulkin / 1989 / Critical point theory of Ljusterni-Schnirelmann type and applications to partial differential equations / Sem. Math. Sup. 107 : 35 ~ 96
A.M. Micheletti / 2004 / Multiple solutions for an asymptotically linear prob-lem in RN / Nonlinear Anal. 56 (1) : 1 ~ 18
D. Lupo / 1996 / Two applications of a three critical points theorem / J. Differential Equations 132 (2) : 222 ~ 238
Evans, Lawrence C. / 1998 / Partial differential equations
Jin Yinghua / 2004 / Nontrivial solutions of nonlinear elliptic equations and elliptic sys-tems
A.M. Micheletti / 2004 / Multiple solutions for an asymptotically linear prob-lem in RN / Nonlinear Anal. 56 (1) : 1 ~ 18
D. Lupo / 1996 / Two applications of a three critical points theorem / J. Differential Equations 132 (2) : 222 ~ 238
Evans, Lawrence C. / 1998 / Partial differential equations
Jin Yinghua / 2004 / Nontrivial solutions of nonlinear elliptic equations and elliptic sys-tems
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