Existence of ground‐state solutions for p ‐Choquard equations with singular potential and doubly critical exponents

[1]  Minbo Yang,et al.  Standing waves for the pseudo-relativistic Hartree equation with Berestycki-Lions nonlinearity , 2021 .

[2]  Yujian Su.  Positive solution to Schrödinger equation with singular potential and double critical exponents , 2021 .

[3]  Yujian Su,et al.  Lions-type theorem of the p-Laplacian and applications , 2021 .

[4]  Lele Du.  Bounds for subcritical best Sobolev constants in W1, p , 2021, Communications on Pure & Applied Analysis.

[5]  Yujian Su,et al.  Multiplicity and concentration results for fractional Choquard equations: Doubly critical case , 2020 .

[6]  Yu Su,et al.  New result for nonlinear Choquard equations: Doubly critical case , 2020, Appl. Math. Lett..

[7]  Francescantonio Oliva,et al.  Radial symmetry for a quasilinear elliptic equation with a critical Sobolev growth and Hardy potential , 2018, Journal de Mathématiques Pures et Appliquées.

[8]  Minbo Yang,et al.  Semiclassical states for Choquard type equations with critical growth: critical frequency case , 2017, Nonlinearity.

[9]  Shiwang Ma,et al.  Ground states for Choquard equations with doubly critical exponents , 2019, Rocky Mountain Journal of Mathematics.

[10]  Minbo Yang,et al.  Uniqueness and nondegeneracy of solutions for a critical nonlocal equation , 2018, Discrete & Continuous Dynamical Systems - A.

[11]  M. Badiale,et al.  Radial solutions of a biharmonic equation with vanishing or singular radial potentials , 2018, Nonlinear Analysis.

[12]  Jianjun Zhang,et al.  Choquard-type equations with Hardy–Littlewood–Sobolev upper-critical growth , 2018, Advances in Nonlinear Analysis.

[13]  Jean Van Schaftingen,et al.  Groundstates for a local nonlinear perturbation of the Choquard equations with lower critical exponent , 2017, Journal of Mathematical Analysis and Applications.

[14]  Jinmyoung Seok,et al.  Nonlinear Choquard equations: Doubly critical case , 2017, Appl. Math. Lett..

[15]  S. Rolando.  Multiple nonradial solutions for a nonlinear elliptic problem with singular and decaying radial potential , 2017, 1708.01228.

[16]  Minbo Yang,et al.  Singularly perturbed critical Choquard equations , 2016, 1611.01712.

[17]  Jean Van Schaftingen,et al.  Odd symmetry of least energy nodal solutions for the Choquard equation , 2016, 1606.05668.

[18]  Jean Van Schaftingen,et al.  A guide to the Choquard equation , 2016, 1606.02158.

[19]  Minbo Yang,et al.  The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation , 2016, 1604.00826.

[20]  Chang-Lin Xiang.  Asymptotic behaviors of solutions to quasilinear elliptic equations with critical Sobolev growth and Hardy potential , 2015, 1502.03966.

[21]  Jean Van Schaftingen,et al.  Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent , 2014, 1403.7414.

[22]  P. C. Carrião,et al.  Nonlinear Biharmonic Problems with Singular Potentials , 2014 .

[23]  A. Pisante,et al.  Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces , 2013, 1302.5923.

[24]  Jean Van Schaftingen,et al.  Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains , 2012, 1203.3154.

[25]  S. Secchi,et al.  Multiple solutions to a magnetic nonlinear Choquard equation , 2011, 1109.1386.

[26]  V. Benci,et al.  A nonlinear elliptic equation with singular potential and applications to nonlinear field equations , 2007 .

[27]  Jiabao Su,et al.  Weighted Sobolev embedding with unbounded and decaying radial potentials , 2007 .

[28]  M. Badiale,et al.  A note on nonlinear elliptic problems with singular potentials , 2006 .

[29]  Irene M. Moroz,et al.  Spherically symmetric solutions of the Schrodinger-Newton equations , 1998 .

[30]  Elliott H. Lieb,et al.  A Relation Between Pointwise Convergence of Functions and Convergence of Functionals , 1983 .

[31]  E. Lieb.  Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation , 1977 .