On a reaction-diffusion system involving the critical exponent
Nicolae Tarfulea · Revista Matemática Complutense · 1998
In tbis paper ~e study the existence and rnultipl>,city of the nentrivial solutions fer tIte following elliptic s>'stem witIt Dirichlet boundary conditiens and critical nenlinearity t 2 -2 -Au=.Av+W O such tItat W a.e.ira 9 and >, 6, y are real parameters.We sbew tItat the number of nontrivial selutiens, in a left neigItbourIteod of eacIt A 1, j = 1,2 Is at Ieast twice tIte multiplicity of -¾ wItere tIte set {½} represents tIte spectrurn of a certain integredifferential eperator.