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On the existence of bounded solutions for a nonlinear elliptic system
bounded solutions a nonlinear elliptic system
2010/11/9
This work deals with the system $(-\Delta)^m u= a(x)\, v^p$, $(-\Delta)^m v=b(x)\, u^q$ with Dirichlet boundary condition in a domain $\Omega\subset\RR^n$, where $\Omega$ is a ball if $n\ge 3$ or a sm...
Estimation for Bounded Solutions of Integral Inequalities Involving Infinite Integration Limits
Nonlinear integral inequality Infinite integration limit Explicit bound on solutions
2008/7/1
Some integral inequalities with infinite integration limits are established as generalizations of a known result due to B.G. Pachpatte.