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摘要
In this paper we show the existence of non-negative solutions for a Kirchhoff type problem driven by a nonlocal integrodifferential operator, that is @@@ -M(parallel to u parallel to(2)(Z))L(K)u = lambda f(x, u) + vertical bar u vertical bar(2)*(-2) u in Omega, u = 0 in R-n \ Omega @@@ where L-K is an integrodifferential operator with kernel K, Omega is a bounded subset of R-n, M and f are continuous functions, parallel to.parallel to(Z) is a functional norm and 2* is a fractional Sobolev exponent.
- 出版日期2014-1
