Existence and Stability Properties of Positive Weak Solutions for a Class of Dirichlet Equations Involving Indefinite Weight Functions Driven by a (p1, . . . , pn)-Laplacian Operator
G. A. Afrouzi, Saleh Shakeri, Armin Hadjian · Thai Journal of Mathematics · 2012
In this note, we prove the existence and stability properties of positive weak solutions to a class of nonlinear equations driven by a ( p 1 , . . . , p n )-Laplacian operator and indefinite weight functions. First by using the method of sub-super solution we study the existence of positive weak solution. Next we study the stability properties of positive weak solution.