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1. CMB 2011 (vol 55 pp. 537)
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Asymptotic Properties of Solutions to Semilinear Equations Involving Multiple Critical Exponents In this paper, we investigate
a semilinear elliptic equation that involves multiple
Hardy-type terms and critical Hardy-Sobolev exponents. By the
Moser iteration method and analytic techniques, the asymptotic
properties of its nontrivial solutions at the singular points are
investigated.
Keywords:elliptic problem, solution, Hardy-Sobolev inequality, singularity, Moser iteration Categories:35B33, 35B40, 35J60 |
2. CMB 2001 (vol 44 pp. 376)
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A Note on $p$-Harmonic $1$-Forms on Complete Manifolds In this paper we prove that there is no nontrivial $L^{q}$-integrably
$p$-harmonic $1$-form on a complete manifold with nonnegatively Ricci
curvature $(0 Keywords:$p$-harmonic, $1$-form, complete manifold, Sobolev inequality Categories:58E20, 53C21 |