典型文献
Positive Solutions for a Class of Fractional p-Laplacian Equation with Critical Sobolev Exponent and Decaying Potentials
文献摘要：
In this paper,we study the existence of positive solution for the p-Laplacian equations with frac-tional critical nonlinearity{-Δ)spu+V(x)|u|p-2u=K(x)f(u)+P(x)|u|p*s-2u,x ∈ RN,u ∈ Ds,p(RN),where s ∈(0,1),p*s=Np/N-sp,N＞sp,p＞1 and V(x),K(x)are positive continuous functions which vanish at infinity,f is a function with a subcritical growth,and P(x)is bounded,nonnegative continuous function.By using variational method in the weighted spaces,we prove the above problem has at least one positive solution.
文献关键词：
中图分类号：
作者姓名：
Na LI;Xiao-ming HE
作者机构：
College of Science,Minzu University of China,Beijing 100081,China
文献出处：
引用格式：
[1]Na LI;Xiao-ming HE-.Positive Solutions for a Class of Fractional p-Laplacian Equation with Critical Sobolev Exponent and Decaying Potentials)[J].应用数学学报（英文版）,2022(02):463-483
A类：
Decaying,spu+V
B类：
Positive,Solutions,Class,Fractional,Laplacian,Equation,Critical,Sobolev,Exponent,Potentials,In,this,paper,study,existence,positive,solution,equations,frac,nonlinearity,2u,+P,RN,Ds,where,Np,are,continuous,functions,which,vanish,infinity,subcritical,growth,bounded,nonnegative,By,using,variational,method,weighted,spaces,prove,above,problem,has,least
AB值：
0.652492
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