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SOLVABILITY FOR A CLASS OF THE SYSTEMS OF THE NONLINEAR ELLIPTIC EQUATIONS

정택선|최규흥
대한수학회 (The Korean Mathematical Society)|2012.01|대한수학회보 (Bulletin of the KMS)|제49권 제1호|pp. 1-10

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참고문헌

키워드

critical point theory(P.S.) conditionmountain pass theoremsystem of nonlinear elliptic equations
주제분류수학

초록

Let Ω be a bounded subset of Rn with smooth boundary. We investigate the solvability for a class of the system of the nonlinear elliptic equations with Dirichlet boundary condition. Using the mountain pass theorem we prove that the system has at least one nontrivial solution.

Abstract

Let Ω be a bounded subset of Rn with smooth boundary. We investigate the solvability for a class of the system of the nonlinear elliptic equations with Dirichlet boundary condition. Using the mountain pass theorem we prove that the system has at least one nontrivial solution.

참고문헌 (22)

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