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, S. Shakeri, A. Hadjian

Abstract


In this note, we prove the existence and stability properties of positive weak solutions to a class of nonlinear equations driven by a (p1, . . . , pn)-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.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|