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math.AP2009★ 11 cited
Large solutions to semilinear elliptic equations with Hardy potential and exponential nonlinearity
Catherine Bandle, Vitaly Moroz, Wolfgang Reichel
On a bounded smooth domain we study solutions of a semilinear elliptic equation with an exponential nonlinearity and a Hardy potential depending on the distance to the boundary of…
math.AP2009★ 66 cited
Semiclassical stationary states for nonlinear Schroedinger equations with fast decaying potentials
Vitaly Moroz, Jean Van Schaftingen
We study the existence of stationnary positive solutions for a class of nonlinear Schroedinger equations with a nonnegative continuous potential V. Amongst other results, we prove…