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Existence and nonexistence of entire large solutions to a class of generalized quasilinear Schrödinger equations

Applied Mathematics Letters(2022)

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Abstract
This paper is concerned to the class of generalized quasilinear Schrödinger equations which have appeared from plasma physics, as well as high-power ultrashort laser in matter. By introducing a variable replacement and using some iterative methods, the existence and nonexistence of entire large solutions are studied.
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Key words
Quasilinear Schrodinger equations,Variable replacement,Entire large solutions
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