Publication details
On the existence of multiple solutions for fractional Brezis-Nirenberg-type equations
| Authors | |
|---|---|
| Year of publication | 2022 |
| Type | Article in Periodical |
| Magazine / Source | Mathematische Nachrichten |
| MU Faculty or unit | |
| Citation | |
| Web | |
| Doi | http://dx.doi.org/10.1002/mana.202000098 |
| Keywords | critical exponent; elliptic equation; fractional Laplacian; multiple solutions; sign-changing solutions |
| Description | This paper studies the nonlocal fractional analog of the famous paper of Brezis and Nirenberg [Comm. Pure Appl. Math. 36 (1983), no. 4, 437-477]. Namely, we focus on the following model: (p){(-Delta)(s)u-lambda u = alpha vertical bar u vertical bar(p-2)u+beta vertical bar u vertical bar(2s)*(-2)u in Omega, u = 0 in R-N \ Omega, where (-Delta)(s) is the fractional Laplace operator, s is an element of (0,1), with N > 2s, 2 < p < 2(s)*, beta > 0, lambda, alpha is an element of R, and establish the existence of nontrivial solutions and sign-changing solutions for the problem (P). |
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