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Critical sobolev exponent problem in ℝn(n ≥ 4) with neumann boundary condition

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In this paper we study the existence and non existence of positive solution for the critical Sobolev exponent problem − Δu =u(n + 2)/(n − 2) +λα(x)u) in Ω\(\frac{{\partial u}}{{\partial v}} = 0 on \partial B\), where Ω is a bounded domain in ℝn(n ≥ 4).

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  1. TIFR Centre, P. B. 1234, 560012, Bangalore, India

    Adimurthi & S. L. Yadava

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  1. Adimurthi
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  2. S. L. Yadava
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Adimurthi, Yadava, S.L. Critical sobolev exponent problem in ℝn(n ≥ 4) with neumann boundary condition. Proc. Indian Acad. Sci. (Math. Sci.) 100, 275–284 (1990). https://doi.org/10.1007/BF02837850

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