4 papers · 1 filter
Sign of the solution to a non-cooperative system
Bénédicte Alziary, Jacqueline Fleckinger
Combining the results of a recent paper by Fleckinger-Hernandez-deTh{é}lin [14] for a non cooperative system with the method of PhD Thesis of MH Lecureux we compute the…
Blow up of the solutions to a linear elliptic system involving Schr{ö}dinger operators
B Alziary, J Fleckinger
We show how the solutions to a linear system involving Schr{ö}dinger operators blow up as the parameter tends to some critical value which is the principal eigenvalu…
Estimate of the validity interval for the Antimaximum Principle and application to a non-cooperative system
J Fleckinger, Jesus Hernandez Alonso, François De Thélin
We are concerned with the sign of the solutions of non-cooperative systems when the parameter varies near a principal eigenvalue of the system. With this aim we give precise estima…
Semi-linear cooperative elliptic systems involving Schr{ö}dinger operators: Groundstate positivity or negativity
Bénédicte Alziary, Jacqueline Fleckinger
We study here the behavior of the solutions to a semi-linear cooperative system involving Schr\" odinger operators (considered in its variational form): $$LU:=(-Δ+ q(x)…