Multiplicity of solutions for a class of fractional p-Kirchhoff system with sign-changing weight functions

[1]  Chen Fu,et al.  Time-fractional generalized Boussinesq equation for Rossby solitary waves with dissipation effect in stratified fluid and conservation laws as well as exact solutions , 2018, Appl. Math. Comput..

[2]  Hongwei Yang,et al.  Existence of positive solutions for a Schrödinger-Poisson system with bounded potential and weighted functions in R3$\mathbb{R}^{3}$ , 2017 .

[3]  Shuqin Zhang,et al.  Positive solutions to boundary value problems of p-Laplacian with fractional derivative , 2017 .

[4]  Qinglun Yan,et al.  Existence of Multiple Solutions for a p-Laplacian System in ℝ N with Sign-changing Weight Functions , 2016, Canadian Mathematical Bulletin.

[5]  Caisheng Chen,et al.  Infinitely many solutions for p‐Kirchhoff equation with concave–convex nonlinearities in RN , 2016 .

[6]  Patrizia Pucci,et al.  Critical stationary Kirchhoff equations in RN involving nonlocal operators , 2016 .

[7]  Wenjing Chen,et al.  The Nehari manifold for a fractional p-Laplacian system involving concave–convex nonlinearities , 2016 .

[8]  P. Pucci,et al.  Existence and multiplicity of entire solutions for fractional p-Kirchhoff equations , 2016 .

[9]  Wenjing Chen,et al.  The Nehari manifold for nonlocal elliptic operators involving concave–convex nonlinearities , 2015 .

[10]  Patrizia Pucci,et al.  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, Calculus of Variations and Partial Differential Equations.

[11]  M. Ferrara,et al.  Existence of solutions for Kirchhoff type problem involving the non-local fractional p-Laplacian , 2015 .

[12]  Giovanni Molica Bisci,et al.  Higher nonlocal problems with bounded potential , 2014, 1608.07439.

[13]  K. Sreenadh,et al.  Nehari manifold for non-local elliptic operator with concave–convex nonlinearities and sign-changing weight functions , 2013, 1307.5149.

[14]  Giovany M. Figueiredo,et al.  Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument , 2013 .

[15]  Kaimin Teng,et al.  Two nontrivial solutions for hemivariational inequalities driven by nonlocal elliptic operators , 2013 .

[16]  Luis A. Caffarelli,et al.  Non-local Diffusions, Drifts and Games , 2012 .

[17]  Enrico Valdinoci,et al.  Mountain Pass solutions for non-local elliptic operators , 2012 .

[18]  A. Pablo,et al.  On some critical problems for the fractional Laplacian operator , 2011, 1106.6081.

[19]  E. Valdinoci,et al.  Hitchhiker's guide to the fractional Sobolev spaces , 2011, 1104.4345.

[20]  M. Badiale,et al.  Semilinear Elliptic Equations for Beginners: Existence Results via the Variational Approach , 2010 .

[21]  G. Afrouzi,et al.  The Nehari manifold for a class of concave–convex elliptic systems involving the p-Laplacian and nonlinear boundary condition , 2010 .

[22]  C. Brändle,et al.  A concave—convex elliptic problem involving the fractional Laplacian , 2010, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

[23]  Tsing-San Hsu,et al.  Multiple positive solutions for a critical elliptic system with concave—convex nonlinearities , 2009, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

[24]  F. Lu The Nehari manifold and application to a semilinear elliptic system , 2009 .

[25]  Tsing-San Hsu,et al.  Multiple positive solutions for a critical quasilinear elliptic system with concave–convex nonlinearities , 2009 .

[26]  Tsung-fang Wu,et al.  The Nehari manifold for a semilinear elliptic system involving sign-changing weight functions , 2008 .

[27]  Tsung-fang Wu,et al.  A semilinear elliptic system involving nonlinear boundary condition and sign-changing weight function , 2008 .

[28]  Tsung‐fang Wu On semilinear elliptic equations involving critical Sobolev exponents and sign-changing weight function , 2007 .

[29]  K. J. Brown,et al.  The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function , 2003 .

[30]  Binlin Zhang,et al.  INFINITELY MANY SOLUTIONS FOR SCHRÖDINGER-KIRCHHOFF TYPE EQUATIONS INVOLVING THE FRACTIONAL p-LAPLACIAN AND CRITICAL EXPONENT , 2017 .

[31]  Xifeng Su,et al.  Multiplicity of solutions for non-local elliptic equations driven by the fractional Laplacian , 2015 .

[32]  Zoubin Ghahramani,et al.  Variational Methods , 2014, Computer Vision, A Reference Guide.

[33]  To Fu Ma,et al.  Positive solutions for a quasilinear elliptic equation of Kirchhoff type , 2005 .

[34]  D. Applebaum Lévy Processes—From Probability to Finance and Quantum Groups , 2004 .

[35]  Michael Struwe,et al.  Variational methods: Applications to nonlinear partial differential equations and Hamiltonian systems , 1990 .