کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
838383 908358 2010 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Multiple solutions for inequality Dirichlet problems by the p(x)-Laplacian
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Multiple solutions for inequality Dirichlet problems by the p(x)-Laplacian
چکیده انگلیسی
In this paper we study the nonlinear elliptic problem driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality), that is (P){−div(‖∇u(x)‖RNp(x)−2∇u(x))∈∂j(x,u(x)),a.a. x∈Ω,u=0,on ∂Ω, where Ω⊂RN is a bounded domain and p:Ω¯→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, Weierstrass Theorem and Mountain Pass Theorem are used to prove the existence of at least two nontrivial solutions. Finally, we obtain the existence of at least two nontrivial solutions of constant sign.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 11, Issue 4, August 2010, Pages 3198-3210
نویسندگان
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