Fractional Schrödinger Equations with Superlinear or Asymptotically Linear Nonlinearities

Nonlinear Fractional Schrödinger Equations in R^N - Frontiers in Mathematics ◽

10.1007/978-3-030-60220-8_8 ◽

2020 ◽

pp. 295-334

Author(s):

Vincenzo Ambrosio

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Asymptotically Linear ◽

Fractional Schrödinger Equations

Download Full-text

Asymptotically linear fractional Schrödinger equations

Complex Variables and Elliptic Equations ◽

10.1080/17476933.2014.948434 ◽

2014 ◽

Vol 60 (4) ◽

pp. 529-558 ◽

Cited By ~ 1

Author(s):

Raquel Lehrer ◽

Liliane A. Maia ◽

Marco Squassina

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Asymptotically Linear ◽

Fractional Schrödinger Equations

Download Full-text

Ground state solutions of asymptotically linear fractional Schrödinger equations

Journal of Mathematical Physics ◽

10.1063/1.4809933 ◽

2013 ◽

Vol 54 (6) ◽

pp. 061504 ◽

Cited By ~ 53

Author(s):

Xiaojun Chang

Keyword(s):

Ground State ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Asymptotically Linear ◽

Ground State Solutions ◽

Fractional Schrödinger Equations

Download Full-text

Multiple sign-changing solutions for fractional Schrödinger equations involving critical or supercritical exponent

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107321 ◽

2021 ◽

Vol 120 ◽

pp. 107321

Author(s):

Quanqing Li ◽

Jianjun Nie

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Supercritical Exponent ◽

Fractional Schrödinger Equations ◽

Sign Changing Solutions

Download Full-text

Nonlinear Fractional Schrödinger Equations in R^N

10.1007/978-3-030-60220-8 ◽

2021 ◽

Author(s):

Vincenzo Ambrosio

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Fractional Schrödinger Equations ◽

Nonlinear Fractional Schrödinger Equations

Download Full-text

Global bifurcation for asymptotically linear Schrödinger equations

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-012-0152-7 ◽

2012 ◽

Vol 20 (1) ◽

pp. 23-35 ◽

Cited By ~ 3

Author(s):

François Genoud

Keyword(s):

Global Bifurcation ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Asymptotically Linear

Download Full-text

Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-016-1045-0 ◽

2016 ◽

Vol 55 (4) ◽

Cited By ~ 32

Author(s):

Xiaoming He ◽

Wenming Zou

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Critical Nonlinearities ◽

Fractional Schrödinger Equations ◽

Concentration Result

Download Full-text

Highly accurate solutions for space–time fractional Schrödinger equations with non-smooth continuous solution using the hybrid clique functions

Mathematical Sciences ◽

10.1007/s40096-021-00437-x ◽

2021 ◽

Author(s):

M. H. Heydari ◽

M. Razzaghi

Keyword(s):

Continuous Solution ◽

Space Time ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Fractional Schrödinger Equations

Download Full-text

Global in time Strichartz estimates for the fractional Schrödinger equations on asymptotically Euclidean manifolds

Journal of Functional Analysis ◽

10.1016/j.jfa.2018.07.006 ◽

2018 ◽

Vol 275 (8) ◽

pp. 1943-2014

Author(s):

Van Duong Dinh

Keyword(s):

Strichartz Estimates ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Fractional Schrödinger Equations

Download Full-text

Ground state of solutions for a class of fractional Schrödinger equations with critical Sobolev exponent and steep potential well

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4527 ◽

2017 ◽

Vol 40 (18) ◽

pp. 7255-7266 ◽

Cited By ~ 1

Author(s):

Liuyang Shao ◽

Haibo Chen

Keyword(s):

Ground State ◽

Critical Sobolev Exponent ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Potential Well ◽

Fractional Schrödinger Equations ◽

Steep Potential Well ◽

Sobolev Exponent

Download Full-text

The attractor of the dissipative coupled fractional Schrödinger equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2820 ◽

2013 ◽

Vol 37 (5) ◽

pp. 645-656 ◽

Cited By ~ 8

Author(s):

Ming Cheng

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Fractional Schrödinger Equations

Download Full-text