The authors consider the problem：-div（p△u）=u^q-1＋λu,u〉0 in Ωmu=0 on эΩ,where Ω is a bounded domain in R^n,n≥3,p：^-Ω→R is a given positive weight such that p∈H^1（Ω）∩С（^-Ω）,λ is a real constant ...The authors consider the problem：-div（p△u）=u^q-1＋λu,u〉0 in Ωmu=0 on эΩ,where Ω is a bounded domain in R^n,n≥3,p：^-Ω→R is a given positive weight such that p∈H^1（Ω）∩С（^-Ω）,λ is a real constant and q=2n/n-2,and stydu the effect of the behavior of p near its minima and the impact of the geometry of domain on the existence of solutions for the above problem.展开更多
文摘The authors consider the problem：-div（p△u）=u^q-1＋λu,u〉0 in Ωmu=0 on эΩ,where Ω is a bounded domain in R^n,n≥3,p：^-Ω→R is a given positive weight such that p∈H^1（Ω）∩С（^-Ω）,λ is a real constant and q=2n/n-2,and stydu the effect of the behavior of p near its minima and the impact of the geometry of domain on the existence of solutions for the above problem.
