A singular Gierer-Meinhardt system of elliptic equations

We derive a Harnack type inequality for an equation with logarithmic and singular weight having interior singularity.. Keywords: singular weight, logarithmic singularity,

But still, in this general case we can use the results above, in Sections 2, 3, to directly derive the following result, which should also yield the linearized stability result

The roots of the method of lower and upper solutions go back to Picard who, in the early 1880s, applied the method of successive approximations to argue the existence of solutions

Sorin MARDARE Maître de Conférence, Université de Rouen Examinateur Mme Patrizia DONATO Professeur, Université de Rouen Directeur de thèse Mme Sara MONSURRO’

Chen-Felmer- Quaas [18] analyzed the existence and asymptotic behavior of large solution to fractional equation with absorption by advanced method of super and sub solutions..

and V´eron L., Boundary trace of positive solutions of semilinear elliptic equations in Lipschitz domains: the subcritical case arXiv:0907.1006v3, submitted. [21]

Boundary Harnack inequality and a priori estimates of singular solutions of quasilinear elliptic equations.. Marie-Françoise Bidaut-Veron, Rouba Borghol,

In order to characterize positive good measures, we introduce a framework of nonlinear analysis which have been used by Dynkin and Kuznetsov (see [16] and references therein) and