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EXISTENCE, MULTIPLICITY AND BIFURCATION FOR CRITICAL POLYHARMONIC EQUATIONS 被引量:7

EXISTENCE, MULTIPLICITY AND BIFURCATION FOR CRITICAL POLYHARMONIC EQUATIONS
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摘要 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. 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.
出处 《Systems Science and Mathematical Sciences》 SCIE EI CSCD 1999年第1期59-69,共11页
关键词 CRITICAL SOBOLEV EXPONENT CRITICAL point MOUNTAIN pass theorem (PS)c condition. Critical Sobolev exponent, critical point, mountain pass theorem, (PS)c condition.
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