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Title VARIATIONAL APPROACHES TO EQUATIONS OF P(X)-LAPLACE TYPE OPERATORS WITH VARIABLE EXPONENTS AND NONLINEAR BOUNDARY CONDITIONS
Type JournalPaper
Keywords Variable exponent; Nonlinear boundary conditions; p(x)-Laplace type operators.
Abstract In this paper, under appropriate growth conditions on the nonlinear terms and by applying variational methods and the some recent critical points theorems, we establish the existence of multiple solutions for a nonlinear elliptic equations of p(x)-Laplace type operators with variable exponents, describing precisely a range for the parameter in all the results of existence and multiplicity. Some applications and examples illustrate the obtained results (448).
Researchers sina pourali roudbari (Fourth Researcher), Ghasem Alizadeh Afrouzi (Third Researcher), Anderson Araujo (Second Researcher), shapour heidarkhani (First Researcher)