کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
842391 908531 2010 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The existence of radial solutions for differential inclusion problems in RNRN involving the p(x)p(x)-Laplacian
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
The existence of radial solutions for differential inclusion problems in RNRN involving the p(x)p(x)-Laplacian
چکیده انگلیسی

In this paper we consider a differential inclusion in RNRN involving a p(x)p(x)-Laplacian of the type equation(P){−Δp(x)u+e(x)|u|p(x)−2u∈∂j(x,u(x)),in RN,u∈W1,p(x)(RN), where p:RN→Rp:RN→R is a continuous function satisfying some given assumptions. The approach used in this paper is the variational method for locally Lipschitz functions. More precisely, on the basis of the Weierstrass Theorem and the Mountain Pass Theorem, we prove that there exist at least two nontrivial solutions, when α+p+α−>p+.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 73, Issue 3, 1 August 2010, Pages 622–633
نویسندگان
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