Affiliation:
1. Group of Analysis and Applied Mathematics, Ho Chi Minh City University of Education, An Duong Vuong, Ward, Ho Chi Minh City, Vietnam + Division of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, Vietnam
Abstract
In this paper, we study the following variational inequality {u
? K, ?Au, v ? u? + ?? g(x,u)(v?u) ? ?? f(x, u,?u)(v?u), ?v ? K,
where K = {u ? W1,p 0(?):u(x) ? 0}, A is the p-Laplacian and the
function 1 is increasing in the second variable. By constructing the
solution operator for an associate variational inequality, we reduce the
problem to a fixed point equation. Then, we apply the fixed point index to prove the existence of the nontrivial solution of the problem.
Publisher
National Library of Serbia
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