EXISTENCE, MULTIPLICITY AND BIFURCATION FOR CRITICAL POLYHARMONIC EQUATIONS

Ben Jin XUAN;Zu Chi CHEN

Journal of Systems Science & Complexity ›› 1999, Vol. 12 ›› Issue (1) : 59-069.

PDF(498 KB)
PDF(498 KB)
Journal of Systems Science & Complexity ›› 1999, Vol. 12 ›› Issue (1) : 59-069.
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EXISTENCE, MULTIPLICITY AND BIFURCATION FOR CRITICAL POLYHARMONIC EQUATIONS

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Abstract

This paper is concerned with the nonexistence and existence, multiplicity and bifurcation of solutions for critical semilinear polyharmonic equations. Following the ideas due to Brezis and Nirenberg[1], we obtain the extensions of [1] and partially confirm Pucci and Serrin~[2] conjecture;by employing the abstract critical point theorem,the multiple results and bifurcation for the problem are obtained.

Key words

Critical Sobolev exponent / critical point / mountain pass theorem / (PS)c condition

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Ben Jin XUAN , Zu Chi CHEN. EXISTENCE, MULTIPLICITY AND BIFURCATION FOR CRITICAL POLYHARMONIC EQUATIONS. Journal of Systems Science and Complexity, 1999, 12(1): 59-069
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