Abstract
AbstractIn this paper, a class of quasilinear Schrödinger equations with discontinuous nonlinearity is considered. After changing variables, by using nonsmooth critical point theory, we obtain the existence and concentration of positive solutions for this problem under suitable conditions. Our results cover and extend some results for these differentiable quasilinear Schrödinger problems.
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Reference59 articles.
1. Carrião, P., Lehrer, R., Miyagaki, O.: Existence of solutions to a class of asymptotically linear Schrödinger equations in $\mathbb{R}^{N}$ via the Pohozaev manifold. J. Math. Anal. Appl. 428, 165–183 (2015)
2. Do Ó, J., Severo, U.: Quasilinear Schrödinger equations involving concave and convex nonlinearities. Commun. Pure Appl. Math. 8(2), 621–644 (2009)
3. Severo, U., Gloss, E., Silva, E.: On a class of quasilinear Schrödinger equations with superlinear or asymptotically linear terms. J. Differ. Equ. 263, 3550–3580 (2017)
4. Kurihura, S.: Large-amplitude quasi-solitons in superfluids films. J. Phys. Soc. Jpn. 50, 3262–3267 (1981)
5. Borovskii, A., Galkin, A.: Dynamical modulation of an ultrashort high-intensity laser pulse in matter. J. Exp. Theor. Phys. 77, 313–345 (1983)
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