On some fractional equations with convex-concave and logistic-type nonlinearities

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• 作者：Giulia Carboni ^{giulia.carboni@unipg.it} ; Dimitri Mugnai ; ¹ ; ^{dimitri.mugnai@unipg.it}
• 关键词：35R11 ; 35J20 ; 35J65 ; 35J61
• 刊名：Journal of Differential Equations
• 出版年：2017
• 出版时间：5 February 2017
• 年：2017
• 卷：262
• 期：3
• 页码：2393-2413
• 全文大小：307 K
• 卷排序：262

文摘

We consider existence and multiplicity results for a semilinear problem driven by the square root of the negative Laplacian in presence of a nonlinear term which is the difference of two powers. In the case of convex–concave powers, a precise description of the problem at the threshold value of a given parameter is established through variational methods and truncation techniques.