Existence of solutions for a nonhomogeneous elliptic Kircchoff type equation

[摘要] For a bounded domain Omega in R-N, a bounded Caratheodory function g in Omega x R, and a nonnegative and nonzero locally integrable measurable function h in Omega, we give sufficient conditions on the C-1-function M : [0, infinity) -> R for the existence of a solution of the nonlocal elliptic problem { -(1 + gamma M' (integral(Omega )vertical bar del u vertical bar(2)))Delta u = lambda u +g(x,u) - h(x)vertical bar u vertical bar(p-1)u+f(x), x is an element of Omega u(x) = 0, x is an element of partial derivative Omega for every p > 1, gamma > 0, lambda is an element of R and f is an element of L-2 (Omega). (C) 2019 Elsevier Inc. All rights reserved.

[发布日期] 2019-12-15

[关键词] Nonlocal term;Variational methods;Existence of solution