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Multiplicity of solutions for homogeneous elliptic systems with critical growth
homogeneous elliptic systems critical growth
2010/11/24
In this paper we are concerned with the number of nonnegative solutions of the elliptic system $$ {array}{ll} -\Delta u = Q_u(u,v) + 1/2{2^*} H_u(u,v),& {in} \Omega,\vdois\ -\Delta v = Q_v(u,v) + 1/{2...
The Expected Perimeter in Eden and Related Growth Processes
Expected Perimeter Eden Related Growth Processes
2010/11/15
Following Richardson and using results of Kesten on First-passage percolation, we obtain an upper bound on the expected perimeter in an Eden Growth Process. Using results of the author from a problem...