Volume 17, Issue 3
The Blow Up Locus of Nonlinear Elliptic Equations with Supercritical Exponents

Songbo Hou

J. Part. Diff. Eq., 17 (2004), pp. 264-282.

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  • 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.

  • History

Published online: 2004-08

  • AMS Subject Headings

35B45, 35J20

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