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EXISTENCE OF INFINITELY MANY SOLUTIONS OF THE NONLINEAR HIGHER ORDER ELLIPTIC EQUATION

정택선|최규흥
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2008.09|한국수학논문집 (Korean Journal of Mathematics)|제16권 제3호|pp. 309-322

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참고문헌

키워드

critical point theoryHigher order elliptic equationDirichlet boundary condition.
주제분류수학

초록

We prove the existence of in¯nitely many solutions of the nonlinear higher order elliptic equation with Dirichlet boundary condition (¡¢)mu = q(x; u) in ­; where m ¸ 1 is an integer and ­ ½ Rn is a bounded domain with smooth boundary, when q(x,u) satis¯es some conditions.

Abstract

We prove the existence of in¯nitely many solutions of the nonlinear higher order elliptic equation with Dirichlet boundary condition (¡¢)mu = q(x; u) in ­; where m ¸ 1 is an integer and ­ ½ Rn is a bounded domain with smooth boundary, when q(x,u) satis¯es some conditions.

참고문헌 (14)

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