Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11021721 | Journal of Mathematical Analysis and Applications | 2019 | 13 Pages |
Abstract
We obtain the critical exponent for the Dirichlet exterior problemiut+Îu=λ|u|p,in(0,â)ÃDc,u(t,x)=f(x),in(0,â)ÃâD,u(0,x)=g(x),inDc, where u is a complex valued function, D=B(0,1)â¾ is the closed unit ball in RN, Nâ¥3, Dc is its complement, p>1, λâC\{0}, fâ¢0, fâL1(âD;C) and gâLloc1(Dcâ¾;C). More precisely, we show that
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Mohamed Jleli, Bessem Samet,