The Blow Up Locus of Nonlinear Elliptic Equations with Supercritical Exponents
Year: 2004
Journal of Partial Differential Equations, Vol. 17 (2004), Iss. 3 : pp. 264–282
Abstract
We consider the compactness theorem for the positive solutions of the equation Δu + h_1u^α + h_2u^β = 0 in Ω ⊂ R^n and obtain the measure estimate of the blow up set for positive smooth solutions {u_i} of the above equation with {||u_i||_{H¹(Ω)} + ||u_i||_{L^{α+1}(Ω)} + ||u_i||_L^{β+1}(Ω)} bounded.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-JPDE-5392
Journal of Partial Differential Equations, Vol. 17 (2004), Iss. 3 : pp. 264–282
Published online: 2004-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Blow up locus