Article ID Journal Published Year Pages File Type
11021721 Journal of Mathematical Analysis and Applications 2019 13 Pages PDF
Abstract
We obtain the critical exponent for the Dirichlet exterior problemiut+Δu=λ|u|p,in(0,∞)×Dc,u(t,x)=f(x),in(0,∞)×∂D,u(0,x)=g(x),inDc, where u is a complex valued function, D=B(0,1)‾ is the closed unit ball in RN, N≥3, Dc is its complement, p>1, λ∈C\{0}, f≢0, f∈L1(∂D;C) and g∈Lloc1(Dc‾;C). More precisely, we show that
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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