On the second solution to a critical growth Robin problem

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• 作者：Elvise Berchio ^{elvise.berchio@polimi.it}
• 关键词：Critical growth ; Robin conditions ; Mountain-pass
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2012
• 出版时间：15 May 2012
• 年：2012
• 卷：389
• 期：2
• 页码：950-967
• 全文大小：281 K

文摘

We investigate the existence of the second mountain-pass solution to a Robin problem, where the equation is at critical growth and depends on a positive parameter ¦Ë. More precisely, we determine existence and nonexistence regions for this type of solutions, depending both on ¦Ë and on the parameter in the boundary conditions.