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Title 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
Type JournalPaper
Keywords (p1, . . . , pn)-Laplacian; sub-super solution; linearized stability
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.
Researchers ARMIN Hadjian (Third Researcher), saleh shakeri (Second Researcher), Ghasem Alizadeh Afrouzi (First Researcher)