53 citations · 183 across the 67 of their papers we have counts for
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Boundary singularities of positive solutions of some nonlinear elliptic equations
Marie-Francoise Bidaut-Veron, Augusto Ponce, Laurent Veron
We study the behaviour near a boundary point a of any positive solution of a nonlinear elliptic equations with forcing term which vanishes on the boundary except at a. Our results…
The precise boundary trace of positive solutions of the equation in the supercritical case
Moshe Marcus, Laurent Veron
We construct the precise boundary trace of positive solutions of in a smooth bounded domain in , for in the super-critical range . The construc…
Boundary Harnack inequality and a priori estimates of singular solutions of quasilinear elliptic equations
Marie-Francoise Bidaut-Veron, Rouba Borghol, Laurent Veron
We extend some classical results dealing with boundary Harnack inequatilities to a class of quasilinear elliptic equations and derive some new estimates for solutions of such equat…
Boundary singularities of N -harmonic functions
Rouba Borghol, Laurent Veron
We construct N-harmonic functions in a domain with one isolated singularity on the boundary of the domain. By using solutions of the spherical p-harmonic spectral problem, we give…