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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...
On a spectral analogue of the strong multiplicity one theorem
spectral analogue strong multiplicity one theorem
2010/11/29
We prove spectral analogues of the classical strong multiplicity one theorem for newforms. Let 1 and 2 be uniform lattices in a semisim-ple group G. Suppose all but finitely many i...