Multiple solutions for nonhomogeneous Schrödinger–Kirchhoff type equations involving the fractional p-Laplacian in RN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym}…

By Patrizia Pucci, Mingqi Xiang, Binlin Zhang. Calculus of Variations and Partial Differential Equations, 2015

401 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Existence theorems for entire solutions of stationary Kirchhoff fractional p-Laplacian equations (2016, methodology): “By standard arguments, it is clear that also W = (W, ‖ · ‖W ) is a uniformly convex Banach space, see Lemma 10 in the Appendix of [31].”
Degenerate Kirchhoff-type diffusion problems involving the fractional p-Laplacian (2017, background): “In recent years, a lot of interest has grown about Kirchhoff-type problems, see for example [3, 10, 27, 35].”
On double phase Kirchhoff problems with singular nonlinearity (2021, methodology): “In the extensive literature on degenerate and nondegenerate Kirchhoff problems, we refer, for example, to the works of Arora-Giacomoni-Mukherjee-Sreenadh [1, 2], Autuori-Pucci-Salvatori [5], D’Ancona-Spagnolo [14], Figueiredo [19], Fiscella [21], Fiscella-Valdinoci [24], Mingqi-Rădulescu-Zhang [38],”
Existence and multiplicity of entire solutions for fractional p-Kirchhoff equations (2016, background): “For other recent results in this direction, the reader is referred, for example, to [25, 27, 28, 36] for the non-degenerate case and [4, 35, 37] for the degenerate case.”