• Soliton solutions for a quasilinear Schrödinger equation via Morse theory

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    • Keywords


      Quasilinear Schrödinger equation; soliton solution; critical point; Morse theory; local linking.

    • Abstract


      In this paper, Morse theory is used to show the existence of nontrivial weak solutions to a class of quasilinear Schrödinger equation of the form

      $$-\Delta u - \frac{p}{2^{p-1}} u \Delta_p (u^2) = f(x, u)$$

      in a bounded smooth domain $\Omega \subset \mathbb{R}^N$ with Dirichlet boundary condition.

    • Author Affiliations


      Duchao Liu1 Peihao Zhao1

      1. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, People’s Republic of China
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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