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.

Full Text: PDF

Refbacks

  • There are currently no refbacks.


Copyright 2020 by the Mathematical Association of Thailand.

All rights reserve. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without the prior permission of the Mathematical Association of Thailand.

|ISSN 1686-0209|