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Titlebook: Nonlinear Fractional Schrödinger Equations in R^N; Vincenzo Ambrosio Book 2021 The Editor(s) (if applicable) and The Author(s), under excl

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书目名称Nonlinear Fractional Schrödinger Equations in R^N
编辑Vincenzo Ambrosio
视频video
概述Provides a set of results concerning nonlinear Schrödinger equations in the whole space driven by fractional operators.Deals with fractional Schrödinger equations involving different type of potential
丛书名称Frontiers in Mathematics
图书封面Titlebook: Nonlinear Fractional Schrödinger Equations in R^N;  Vincenzo Ambrosio Book 2021 The Editor(s) (if applicable) and The Author(s), under excl
描述.This monograph presents recent results concerning nonlinear fractional elliptic problems in the whole space. More precisely, it investigates the existence, multiplicity and qualitative properties of solutions for fractional Schrödinger equations by applying suitable variational and topological methods..The book is mainly intended for researchers in pure and applied mathematics, physics, mechanics, and engineering. However, the material will also be useful for students in higher semesters and young researchers, as well as experienced specialists working in the field of nonlocal PDEs.. .This is the first book to approach fractional nonlinear Schrödinger equations by applying variational and topological methods..
出版日期Book 2021
关键词fractional Schrödinger equations; topological methods; variational methods; existence results; multiplic
版次1
doihttps://doi.org/10.1007/978-3-030-60220-8
isbn_softcover978-3-030-60219-2
isbn_ebook978-3-030-60220-8Series ISSN 1660-8046 Series E-ISSN 1660-8054
issn_series 1660-8046
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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Fractional Scalar Field Equations,In the fundamental papers, Berestycki and Lions studied the existence and the multiplicity of nontrivial solutions to the equation.
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,Ground States for a Superlinear Fractional Schrödinger Equation with Potentials,In this section we focus our attention on the study of the following fractional Schrödinger equation.
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,Fractional Schrödinger Equations with Rabinowitz Condition,In the first part of this chapter we focus our attention on the existence, multiplicity and concentration of positive solutions for the fractional elliptic problem.
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Multiplicity and Concentration Results for a Fractional Choquard Equation,This chapter deals with the following class of nonlinear fractional Choquard problems: . where . is a small parameter, . ∈ (0, 1), . > 2. and 0 < . < 2..
发表于 2025-3-23 08:14:01 | 显示全部楼层
A Multiplicity Result for a Fractional Kirchhoff Equation with a General Nonlinearity,In this paper we study the multiplicity of weak solutions to the nonlinear fractional Kirchhoff equation . where . ∈ (0, 1), . ≥ 2, . > 0, . is a small positive parameter and . is a nonlinearity which satisfies suitable assumptions.
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