Positive solutions to Δu - Vu + Wup= 0 and its parabolic counterpart in noncompact manifolds
نویسندگان
چکیده
منابع مشابه
− V u + Wup = 0 AND ITS PARABOLIC COUNTERPART IN NONCOMPACT MANIFOLDS
We consider the equation ∆u − V (x)u + W (x)u = 0 and its parabolic counterpart in noncompact manifolds. Under some natural conditions on the positive functions V and W , which may only have ‘slow’ or no decay near infinity, we establish existence of positive solutions in both the critical and the subcritical case. This leads to the solutions, in the difficult positive curvature case, of many s...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2004
ISSN: 0030-8730
DOI: 10.2140/pjm.2004.213.163