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ABSTRACT In this paper, we study the following quasilinear Schrödinger equation where , is a given potential, g is a even function with for all . The nonlinearity satisfies superlinear… Click to show full abstract
ABSTRACT In this paper, we study the following quasilinear Schrödinger equation where , is a given potential, g is a even function with for all . The nonlinearity satisfies superlinear growth at infinity. We get existence results of the positive solution for the above problem. Moreover, we give two applications of our results, which improves recent results in Alves et al. [Soliton solutions for a class of quasilinear Schrödinger equations with a parameter. J Differ Equ. 2015;259:318–343].
Keywords:
dinger equations;
positive solutions;
quasilinear schr;
solutions quasilinear;
schr dinger
Journal Title: Complex Variables and Elliptic Equations
Year Published: 2019
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Journal Title: Complex Variables and Elliptic Equations
Year Published: 2019
Link to full text (if available)
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recommendations!