A variational approach for one-dimensional scalar field problems

DOI10.1007/S13226-018-0290-7OpenAlexW2902049664WikidataQ128870792 ScholiaQ128870792MaRDI QIDQ2322988

Armin Hadjian

Publication date: 30 August 2019

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-018-0290-7

zbMATH Keywords

variational methodsinfinitely many solutionsone-dimensional scalar field problem

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for linear elliptic equations (35J65) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for problems in abstract spaces (49J27) Existence theories in calculus of variations and optimal control (49Jxx) Elliptic equations and elliptic systems (35Jxx) Equations and inequalities involving nonlinear operators (47Jxx)

Cites Work

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• Nonlinear scalar field equations. I: Existence of a ground state
• One-dimensional scalar field equations involving an oscillatory nonlinear term
• On a class of nonlinear Schrödinger equations
• Stability of standing waves for some nonlinear Schrödinger equations.
• Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
• A general variational principle and some of its applications
• Sign Changing Solutions of Superlinear Schrödinger Equations
• NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL

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