Quasilinear Schrödinger equations involving concave and convex nonlinearities

By João Marcos do, Uberlandio B. Severo. 2008

142 citations recorded by the source corpus.

In this paper the mountain--pass theorem and the Ekeland variational principle in a suitable Orlicz space are employed to establish the existence of positive standing wave solutions for a quasilinear Schrodinger equation involving a combination of concave and convex terms. The second order nonlinearity considered in this paper corresponds to the superfluid equation in plasma physics.

Subfields: Mathematical Physics, Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/c094b9a8fd7e210fb1191471740a77a0f4a2d031