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摘要
This paper is concerned with the existence of solutions to the class of nonlocal boundary value problems of the type <br xmlns:set="http://exslt.org/sets">-M (integral(Omega) vertical bar del u vertical bar(2))Delta u = f(x, u), in Omega, u = 0, on partial derivative Omega, where Omega is a smooth bounded domain of R-N and M is a positive continuous function. By assuming that f (x, u) is a Caratheodory function which growths at most vertical bar u vertical bar (N/(N-2)), N >= 3, and under a suitable growth condition on M, one proves an existence result by applying the Leray-Schauder fixed point theorem.
- 出版日期2013
