Abstract
The purpose of the present paper is to discuss the role of second order elliptic operators of the type on the existence of a positive solution for the problem involving critical exponent urn:x-wiley:equation:mana201300249:equation:mana201300249-math-0002where Ω is a smooth bounded domain in , , and λ is a real parameter. In particular, we show that if the function has an interior global minimum point x0 such that is comparable to , where and is the identity matrix of order n, then the range of values of λ for which the problem above has a positive solution can change drastically from to .
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