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Existence of multiple solutions for quasilinear diagonal elliptic systems

By Marco Squassina


Nonsmooth-critical-point theory is applied in proving multiplicity results for the quasilinear symmetric elliptic system $$ -sum_{i,j=1}^{n}D_j(a^{k}_{ij}(x,u)D_iu_k)+ {1over 2}sum_{i,j=1}^{n}sum_{h=1}^N D_{s_k}a^{h}_{ij}(x,u)D_iu_hD_ju_h=g_k(x,u),, $$ for $k=1,..,N$

Topics: Quasilinear elliptic differential systems, Nonsmooth critical point theory., Mathematics, QA1-939, Science, Q, DOAJ:Mathematics, DOAJ:Mathematics and Statistics
Publisher: Texas State University
Year: 1999
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