Integral representation of solutions using Green function for fractional Hardy equations

[1]  N. Ghoussoub,et al.  Multiplicity and Stability of the Pohozaev Obstruction for Hardy-Schrödinger Equations with Boundary Singularity , 2019, Memoirs of the American Mathematical Society.

[2]  R. Frank,et al.  Equivalence of Sobolev Norms Involving Generalized Hardy Operators , 2018, International Mathematics Research Notices.

[3]  B. Abdellaoui,et al.  On a fractional quasilinear parabolic problem: the influence of the Hardy potential , 2018, Nonlinear Differential Equations and Applications NoDEA.

[4]  T. Jakubowski,et al.  Fractional Laplacian with Hardy potential , 2017, Communications in Partial Differential Equations.

[5]  B. Abdellaoui,et al.  Attainability of the fractional Hardy constant with nonlocal mixed boundary conditions. Applications , 2017, 1709.08399.

[6]  G. Metafune,et al.  Sharp kernel estimates for elliptic operators with second-order discontinuous coefficients , 2017 .

[7]  B. Abdellaoui,et al.  The effect of the Hardy potential in some Calder\'on-Zygmund properties for the fractional Laplacian , 2015, 1510.08604.

[8]  S. Dipierro,et al.  Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential , 2015, 1506.07317.

[9]  Claudia Bucur,et al.  Some observations on the Green function for the ball in the fractional Laplace framework , 2015, 1502.06468.

[10]  E. Valdinoci,et al.  A density property for fractional weighted Sobolev spaces , 2015, 1501.04918.

[11]  Boumediene Abdellaoui,et al.  Optimal results for the fractional heat equation involving the Hardy potential , 2014, 1412.8159.

[12]  K. Bogdan,et al.  Hardy Inequalities and Non-explosion Results for Semigroups , 2014, 1412.7717.

[13]  V. Felli,et al.  UNIQUE CONTINUATION PROPERTIES FOR RELATIVISTIC SCHR ¨ ODINGER OPERATORS WITH A SINGULAR POTENTIAL , 2013, 1312.6516.

[14]  Y. Lei,et al.  Asymptotic properties of positive solutions of the Hardy–Sobolev type equations , 2013 .

[15]  L. Silvestre,et al.  Uniqueness of Radial Solutions for the Fractional Laplacian , 2013, 1302.2652.

[16]  M. Fall.  Semilinear elliptic equations for the fractional Laplacian with Hardy potential , 2011, Nonlinear Analysis.

[17]  Enzo Mitidieri,et al.  Representation Formulae for Solutions to Some Classes of Higher Order Systems and Related Liouville Theorems , 2008 .

[18]  Luis Silvestre,et al.  Regularity of the obstacle problem for a fractional power of the laplace operator , 2007 .

[19]  E. Lieb,et al.  Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators , 2006, math/0610593.

[20]  Wenxiong Chen,et al.  Classification of solutions for an integral equation , 2006 .