Quasilinear Schrödinger equations with nonlinearities interacting with high eigenvalues

DOI10.1063/1.5091810zbMath1428.35537OpenAlexW2968236471MaRDI QIDQ5234047

Jefferson S. Silva, Edcarlos D. Da Silva

Publication date: 9 September 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5091810

zbMATH Keywords

eigenvaluesquasilinear Schrödinger equations

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Estimates of eigenvalues in context of PDEs (35P15) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (6)

Existence of solution for quasilinear Schrödinger equations using a linking structure ⋮ Quasilinear equations using a linking structure with critical nonlinearities ⋮ Existence of multiple solutions for elliptic equations with indefinite potential ⋮ Multiplicity of solutions for critical quasilinear Schrödinger equations using a linking structure ⋮ Existence of least energy positive and nodal solutions for a quasilinear Schrödinger problem with potentials vanishing at infinity ⋮ Ground state solutions for asymptotically periodic nonlinearities for Kirchhoff problems

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