A bifurcation result for non-local fractional equations

By Giovanni Molica Bisci, Raffaella Servadei. 2015

65 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/2a2c6814adbe59895344e22a40e983c51ee0b422

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In Applied Mathematics

Citations in the corpus

On doubly nonlocal fractional elliptic equations (2015, methodology): “ the nonlocal analysis which we perform in this paper in order to use the Mountain Pass Theorem is quite general and it was successfully exploited for other goals in several recent contributions (see [16, 19, 20, 21, 23, 28, 30, 31, 32] and [15] for various properties on the fractional Sobolev space”
Multiplicity results for the non-homogeneous fractional p-Kirchhoff equations with concave–convex nonlinearities (2015, background): “The literature on fractional operators and their applications is very huge, here we just mention a few, see for example [10–20], especially [21] and [22,23] for two different fractional Laplacian involving concave–convex nonlinearities.”
Ground state solutions of scalar field fractional Schrödinger equations (2015, background): “In addition, nonlocal fractional equations appear inmany fields and a lot of interest has been devoted to this kind of problems and to their concrete applications; see, for instance the seminal papers [12–14] and [3,9,15,22,40,57], as well as the references therein.”
Multiple solutions for nonhomogeneous Schrödinger–Kirchhoff type equations involving the fractional p-Laplacian in RN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setl (2015, background): “The literature on fractional and nonlocal operators and on their applications is very interesting and quite large, we refer the readers to [5,6,13,14,23,24,36–38,43,44,46,49,50] and the references therein.”
On a fractional degenerate Kirchhoff-type problem (2017, unknown): “The nonlocal analysis that we perform here is quite general and exploited for other goals in several recent contributions; see [26, 27, 28, 31, 32].”
Existence of solutions for Kirchhoff type problem involving the non-local fractional p-Laplacian (2015, background): “We refer also to [13,14,29,30,32,40,43,44] for further details on the functional framework and its applications to the existence of solutions for problem (1.”