Nonexistence of positive supersolutions to a class of semilinear elliptic equations and systems in an exterior domain

[1]  A. Quaas,et al.  On nonhomogeneous elliptic equations with the Hardy—Leray potentials , 2017, Journal d'Analyse Mathématique.

[2]  P. Markowich,et al.  Fundamental solutions for Schrödinger operators with general inverse square potentials , 2017, 1703.04053.

[3]  Huyuan Chen Liouville theorem for the fractional Lane–Emden equation in an unbounded domain , 2016, 1612.01071.

[4]  Jianfu Yang,et al.  Weak solutions of semilinear elliptic equation involving Dirac mass , 2015, 1509.05839.

[5]  P. Felmer,et al.  On Liouville type theorems for fully nonlinear elliptic equations with gradient term , 2013 .

[6]  Y. Pinchover,et al.  OPTIMAL HARDY WEIGHT FOR SECOND-ORDER ELLIPTIC OPERATOR: AN ANSWER TO A PROBLEM OF AGMON , 2012, 1208.2342.

[7]  Soohyun Bae,et al.  Nonexistence of positive solutions of nonlinear elliptic systems with potentials vanishing at infinity , 2012 .

[8]  Nassif Ghoussoub,et al.  On the H\'enon-Lane-Emden conjecture , 2011, 1107.5611.

[9]  B. Sirakov,et al.  Nonexistence of Positive Supersolutions of Elliptic Equations via the Maximum Principle , 2010, 1005.4885.

[10]  B. Sirakov,et al.  Sharp Liouville results for fully nonlinear equations with power-growth nonlinearities , 2010, 1001.4489.

[11]  Philippe Souplet,et al.  The proof of the Lane–Emden conjecture in four space dimensions , 2009 .

[12]  Zongming Guo,et al.  Positive solutions of an elliptic equation with negative exponent: Stability and critical power☆ , 2009 .

[13]  F. Cîrstea,et al.  On trichotomy of positive singular solutions associated with the Hardy-Sobolev operator ✩ , 2009 .

[14]  Yi A. Li,et al.  A Note on the Positive Solutions of an Inhomogeneous Elliptic Equation on Rn , 2009 .

[15]  Yujin Guo Global solutions of singular parabolic equations arising from electrostatic MEMS , 2008 .

[16]  Juncheng Wei,et al.  Properties of positive solutions of an Elliptic Equation with negative exponents , 2007, 0706.2034.

[17]  Y. Pinchover A Liouville-type Theorem for Schrödinger Operators , 2005 .

[18]  Y. Pinchover Topics in the theory of positive solutions of second-order elliptic and parabolic partial differential equations , 2005, math/0512430.

[19]  N. Ghoussoub,et al.  Compactness along the branch of semistable and unstable solutions for an elliptic problem with a singular nonlinearity , 2005, math/0511690.

[20]  H. Brezis,et al.  On a semilinear elliptic equation with inverse-square potential , 2005 .

[21]  Alexander Meadows Stable and singular solutions of the equation $\Delta u = 1/u$ , 2004, math/0404422.

[22]  L. Dupaigne A nonlinear elliptic Pde with the inverse square potential , 2002 .

[23]  S. Pohožaev,et al.  Nonexistence results and estimates for some nonlinear elliptic problems , 2001 .

[24]  Yi A. Li,et al.  Separation property of solutions for a semilinear elliptic equation , 1998 .

[25]  M. Bidaut-Véron Local behaviour of the solutions of a class of nonlinear elliptic systems , 2000, Advances in Differential Equations.

[26]  M. García-Huidobro,et al.  Classification of positive singular solutions for a class of semilinear elliptic systems , 1997, Advances in Differential Equations.

[27]  Yi A. Li On the positive solutions of the Matukuma equation , 1993 .

[28]  Yi Li,et al.  Asymptotic behavior of positive solutions of equation Δu + K(x) up = 0 in Rn , 1992 .

[29]  A. Quaas,et al.  Optimal Liouville theorems for supersolutions of elliptic equations with the Laplacian , 2016 .

[30]  B. Sirakov,et al.  Existence and non-existence results for fully nonlinear elliptic systems , 2009 .

[31]  Zhao Jian-qing The Existence of Positive Solutions of Semilinear Elliptic Systems , 2006 .

[32]  Alexander Meadows Stable and singular solutions of the equation Δu = 1/u , 2004 .

[33]  Haim Brezis,et al.  Blow-up solutions of some nonlinear elliptic problems , 1997 .

[34]  Yi A. Li ON THE POSITIVE SOLUTIONS OF MATUKUMA EQUATION , 1993 .