EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A FRACTIONAL p-LAPLACIAN PROBLEM OF KIRCHHOFF TYPE VIA KRASNOSELSKII'S GENUS

被引：0

作者：

Benhamida, Ghania ^{[1
]}

Moussaoui, Toufik ^{[2
]}

机构：

[1] Ecole Normale Super Kouba, Dept Math, Lab Equat Derivees Partielles Non Lineaires & His, Algiers, Algeria

[2] Ecole Normale Super Kouba, Dept Math, Lab Fixed Point Theory & Applicat, Algiers, Algeria

来源：

MATHEMATICA BOHEMICA | 2018年 / 143卷 / 02期

关键词：

existence results; genus theory; fractional p-Kirchhoff problem;

D O I：

10.21136/MB.2017.0010-17

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use the genus theory to prove the existence and multiplicity of solutions for the fractional p-Kirchhoff problem {-[M(integral(Q vertical bar)u(x) - u(y)vertical bar(p)/vertical bar x - y vertical bar(N+ps) dx dy)](p-1) (-Delta)(p)(s)u - lambda h(x,u) in Omega, u - 0 on R-N \ Omega, where Omega is an open bounded smooth domain of R-N, p > 1, N > ps with s is an element of(0, 1) fixed, Q R-2N (C Omega x C Omega), lambda > 0 is a numerical parameter, M and h are continuous functions.

引用

页码：189 / 200

页数：12

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