Abstract :
Let Ω⊂RNΩ⊂RN be a smooth bounded domain such that 0∈Ω0∈Ω, N≥3N≥3. In this paper, we study the critical quasilinear elliptic problems
View the MathML source−Δpu−μ|u|p−2u|x|p=|u|p∗(t)−2|x|tu+λ|u|q−2|x|su,u∈W01,p(Ω)
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with Dirichlet boundary condition, where View the MathML source−Δpu=−div(|∇u|p−2∇u),1
0,0≤s, t
Keywords :
positive solution , Quasilinear elliptic equation , Hardy inequality , Sobolev–Hardy inequality , Variational method
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Journal title :
Nonlinear Analysis Theory, Methods & Applications