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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 2009 (vol 53 pp. 295)
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The Global Attractor of a Damped, Forced Hirota Equation in $H^1$ The existence of the global attractor of a damped
forced Hirota equation in the phase space $H^1(\mathbb R)$ is proved. The
main idea is to establish the so-called asymptotic compactness
property of the solution operator by energy equation approach.
Keywords:global attractor, Fourier restriction norm, damping system, asymptotic compactness Categories:35Q53, 35B40, 35B41, 37L30 |