A nonradial bifurcation result with applications to supercritical problems

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• 作者：Anna Lisa Amadori^a ; ^{annalisa.amadori@uniparthenope.it" class="auth_mail" title="E-mail the corresponding author} ; Francesca Gladiali^b ; ^{fgladiali@uniss.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Semilinear elliptic equations ; Bifurcation ; Nonradial solutions
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2016
• 出版时间：1 August 2016
• 年：2016
• 卷：440
• 期：1
• 页码：106-126
• 全文大小：477 K

文摘

In this paper we consider the problem where α>0$\alpha >0$ and n≥3$\text{<small-caps>n</small-caps>}\ge 3$. Under some assumptions on F we deduce the existence of nonradial solutions which bifurcate from the radial one when α is an even integer.