Existence of soliton solutions for a quasilinear Schr

By Abbas Moameni. 2006

135 citations recorded by the source corpus.

Abstract Mountain pass in a suitable Orlicz space is employed to prove the existence of soliton solutions for a quasilinear Schrodinger equation involving critical exponent in R N . These equations contain strongly singular nonlinearities which include derivatives of the second order. Such equations have been studied as models of several physical phenomena. The nonlinearity here corresponds to the superfluid film equation in plasma physics.

Subfields: Applied Mathematics, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4d3c238d4de5ff45c03281dc6e85791484d92425

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In Applied Mathematics

1. João Marcos
2. Sérgio Henrique Monari Soares
3. Olimpio Hiroshi Miyagaki
4. Zhi-Qiang Wang
5. Xiangqing Liu
6. Jiaquan Liu
7. Shibo Liu

In Mathematical Physics

1. João Marcos
2. Sérgio Henrique Monari Soares
3. Olimpio Hiroshi Miyagaki
4. Zhi-Qiang Wang
5. Xiangqing Liu
6. Jiaquan Liu

In Statistical and Nonlinear Physics

1. João Marcos
2. Sérgio Henrique Monari Soares
3. Olimpio Hiroshi Miyagaki

Citations in the corpus

• Soliton solutions for quasilinear Schrödinger equations with critical growth (2010, methodology): “1) involving critical exponent have been obtained by Moameni in [30] by assuming potential function V (x) radial and satisfying some geometry conditions.”