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《Mathematics in Practice and Theory》 2013-17
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Critical Quasilinear Elliptic Problems on a Perturbed Annular Domain

KANG Xiao-hong;Department of Mathematics and Physics,Shenzhen Polytechnic;  
In this paper,we study the existence of positive solutions for the 0-boundary problem-△_pu+μu~(p-1)=u~(p~*-1) on a perturbed annular domain Ω,with 2 p n and p* being the critical Sobolev exponent and μ 0 a real parameter.We prove that this problem has a positive solution if Ω is roughly an annulus.
【Fund】: 国家自然科学基金(31100958)
【CateGory Index】: O175.25
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