Nonnegative solutions for the fractional Laplacian involving a nonlinearity with zeros
| Autor: | Leonelo Iturriaga, Salomón Alarcón, Antonella Ritorto |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Continuous function (set theory)
General Mathematics 010102 general mathematics Algebraic geometry Lambda 01 natural sciences Omega 010101 applied mathematics Combinatorics Number theory Mathematics - Analysis of PDEs Bounded function Domain (ring theory) Mountain pass theorem FOS: Mathematics 0101 mathematics Mathematics Analysis of PDEs (math.AP) |
| Popis: | We study the nonlocal nonlinear problem \begin{equation}\label{ppp} \left\{ \begin{array}[c]{lll} (-\Delta)^s u = \lambda f(u) & \mbox{in }\Omega, \\ u=0&\mbox{on } \mathbb{R}^N\setminus\Omega, \end{array} \right. \tag{$P_{\lambda}$} \end{equation} where $\Omega$ is a bounded smooth domain in $\mathbb{R}^N$\!,\,$N>2s$,\,$0 Comment: 16 pages |
| Databáze: | OpenAIRE |
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