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Search Results: 1 - 10 of 127340 matches for " Yanyan Li "
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Solutions with Dead Cores for a Parabolic P-Laplacian Equation  [PDF]
Zhengce Zhang, Yanyan Li
Advances in Pure Mathematics (APM) , 2011, DOI: 10.4236/apm.2011.15050
Abstract: We study the solutions with dead cores and the decay estimates for a parabolic p-Laplacian equation with absorption by sub- and supersolution method. Special attention is given to the case where the solution of the steady-state problem vanishes in an interior region.
Quenching Rate for the Porous Medium Equation with a Singular Boundary Condition  [PDF]
Zhengce Zhang, Yanyan Li
Applied Mathematics (AM) , 2011, DOI: 10.4236/am.2011.29157
Abstract: We study the porous medium equation ut=(um). 0<x<∞, t>0 with a singular boundary condition (um) (0,t)=u(0,t). We prove finite time quenching for the solution at the boundary χ=0. We also establish the quenching rate and asymptotic behavior on the quenching point.
On some conformally invariant fully nonlinear equations
YanYan Li
Mathematics , 2003,
Abstract: We will report some results concerning the Yamabe problem and the Nirenberg problem. Related topics will also be discussed. Such studies have led to new results on some conformally invariant fully nonlinear equations arising from geometry. We will also present these results which include some Liouville type theorems, Harnack type inequalities, existence and compactness of solutions to some nonlinear version of the Yamabe problem.
Local gradient estimates of solutions to some conformally invariant fully nonlinear equations
Yanyan Li
Mathematics , 2006,
Abstract: This paper concerns local gradient estimates to solutions of general conformally invariant fully nonlinear elliptic equations of second order.
Some Liouville theorems and applications
YanYan Li
Mathematics , 2006,
Abstract: We give exposition of a Liouville theorem established in \cite{Li3} which is a novel extension of the classical Liouville theorem for harmonic functions. To illustrate some ideas of the proof of the Liouville theorem, we present a new proof of the classical Liouville theorem for harmonic functions. Applications of the Liouville theorem, as well as that of earlier ones in \cite{Li2}, can be found in \cite{Li3, Li4} and \cite{W}.
Remark on some conformally invariant integral equations: the method of moving spheres
Yanyan Li
Mathematics , 2003,
Abstract: We study some conformally invariant integral equations using the method of moving spheres.
Degenerate conformally invariant fully nonlinear elliptic equations
YanYan Li
Mathematics , 2005,
Abstract: We establish Liouville type theorems for degenerate conformally invariant equations.
Conformally invariant fully nonlinear elliptic equations and isolated singularities
YanYan Li
Mathematics , 2005,
Abstract: We study solutions to conformally invariant equations with isolated singularties.
A general Liouville type theorem for some conformally invariant fully nonlinear equations
Aobing Li,YanYan Li
Mathematics , 2003,
Abstract: We establish a general Liouville type theorem for conformally invariant fully nonlinear equations.
Further results on Liouville type theorems for some conformally invariant fully nonlinear equations
Aobing Li,YanYan Li
Mathematics , 2003,
Abstract: We present some further results on Liouville type theorems for some conformally invariant fully nonlinear equations.
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