Nonlinear Fractional Schrödinger Equations in R^N
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Beschreibung
n< i="">nThis 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.
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.
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 potentials and nonlinearities satisfying certain growth assumptions Addressed to researchers interested in pure and applied mathematics, physics, mechanics, and engineering
Autor*in
Vincenzo Ambrosio
Themen in »Nonlinear Fractional Schrödinger Equations in R^N«
fractional Schrödinger equations topological methods variational methods existence results multiplicity results qualitative properties of solutions
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“The text offers a thourough overview of fractional Schrödinger equations in RN that can be used for a course at a graduate or Ph.D. level. A rich bibliography of more than three hundred references completes the book.” (Simone Secchi, zbMATH 1472.35003, 2021)
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