Recent Publications
- S. Taliaferro, Asymptotic behavior of solutions of nonlinear
elliptic equations, Arch. Rational Mech. Anal. 122
(1993), 105-121.
- I. Bakelman and S. Taliaferro, The isoperimetric problem for
two-dimensional convex surfaces, Geometric Analysis and
Nonlinear Partial Differential Equations, I. Bakelman ed., Marcel
Dekker, 1993, 289-303.
- S. Taliaferro, Are solutions of almost radial nonlinear
elliptic equations almost radial?, Comm. Partial Differential
Equations 20 (1995), 2057-2092.
- S. Taliaferro, Radial symmetry of large solutions of nonlinear
elliptic equations, Proc. Amer. Math. Soc.
124 (1996), 447-455.
- S. Taliaferro, An application of
the isoperimetric inequality to the conformal scalar curvature
equation, Math. Ann. 309 (1997), 117-133.
- S. Taliaferro, Radial symmetry of
positive solutions of nonlinear elliptic equations,
J. Differential Equations 156 (1999), 219-253.
- S. Taliaferro, On the growth of
superharmonic functions near an isolated singularity I,
J. Differential Equations 158 (1999), 28-47.
- S. Taliaferro, On the growth of
superharmonic functions near an isolated singularity II,
Comm. Partial Differential Equations 26 (2001),
1003-1026.
- S. Taliaferro, Isolated
singularities of nonlinear elliptic inequalities, Indiana
Univ. Math. J.
50 (2001), 1885-1897.
- S. Taliaferro, Local behavior and
global existence of positive solutions of ...,
Ann. Inst. H. Poincare Anal. Non Lineaire 19 (2002),
889-901.
- S. Taliaferro and L. Zhang, Arbitrarily large
solutions of the conformal scalar curvature problem at an
isolated singularity, Proc. Amer. Math. Soc. 131
(2003), 2895-2902.
- S. Taliaferro, Existence of large singular
solutions of conformal scalar curvature equations in S^n ,
J. Funct. Anal. 224 (2005), 192-216.
- S. Taliaferro and
L. Zhang, Asymptotic symmetries for
conformal scalar curvature equations with singularity ,
Calc. Var. Partial Differential Equations
26 (2006), 401-428.
- S. Taliaferro, Isolated singularities
of nonlinear elliptic inequalities. II. Asymptotic
behavior of solutions, Indiana Univ. Math. J. 55
(2006), 1791-1812.
- S. Taliaferro, Isolated singularities
of nonlinear parabolic inequalities, Math. Ann. 338
(2007), 555-586.
- S. Taliaferro, Blow-up of solutions of
nonlinear parabolic inequalities,
Trans. Amer. Math. Soc. 361 (2009), 3289--3302.
- S. Taliaferro, Initial blow-up of
solutions of semilinear parabolic inequalities,
J. Differential Equations 250 (2011), 892-928.
- M. Ghergu, A. Moradifam, and S. Taliaferro,
Isolated singularities of polyharmonic
inequalities, J. Funct. Anal. 261 (2011), 660-680.
- M. Ghergu and S. Taliaferro,
Singular semilinear elliptic inequalities in the exterior of a
compact set , Proc. Roy. Soc. Edinburgh
Sect. A 143 (2013), 563-588.
- S. Taliaferro,
Pointwise bounds and blow-up for nonlinear polyharmonic inequalities
, Ann. Inst. H. Poincaré Anal. Non Linéaire 30
(2013), 1069-1096.
- M. Ghergu, S. Taliaferro,
Nonexistence of positive supersolutions of nonlinear
biharmonic equations without the maximum principle,
Comm. Partial Differential Equations 40 (2015), 1029-1069.
- M. Ghergu and S. Taliaferro,
Asymptotic behavior at isolated singularities for solutions of
nonlocal semilinear elliptic systems of inequalities,
Calc. Var. Partial Differential Equations 54 (2015),
1243-1273.
- M. Ghergu and S. Taliaferro,
Pointwise bounds and blow-up for Choquard-Pekar inequalities
at an isolated singularity, J. Differential
Equations 261 (2016), 189-217.
- M. Ghergu and S. Taliaferro,
Pointwise bounds and blow-up for systems of semilinear
parabolic inequalities and nonlinear heat potential
estimates, J. Funct. Anal. 272 (2017), 1301-1339.
- S. Taliaferro,
Initial pointwise bounds and blow-up for parabolic
Choquard-Pekar inequalities , Discrete
Contin. Dyn. Syst. 37 (2017), 5211-5252.
- M. Ghergu, S. Taliaferro, and I. Verbitsky,
Pointwise bounds and blow-up for systems of semilinear
elliptic inequalities at an isolated singularity via nonlinear
potential estimates, J. Analyse Math. 139 (2019),
799-840.
- S. Taliaferro,
Pointwise Bounds and Blow-up for Nonlinear Fractional
Parabolic Inequalities , J. Math. Pures Appl. 133
(2020), 287-328.
- S. Taliaferro,
Pointwise bounds and blow-up for systems of nonlinear
fractional parabolic inequalities , Nonlinear
Anal. 195 (2020), 26 pages.
- S. Taliaferro,
Existence of nonnegative solutions of nonlinear fractional
parabolic inequalities, J. Evol. Equ. 21 (2021),
5003-5035.