Positive solutions exhibit one-dimensional symmetry and monotonicity in x_n when -2s < α < (γ-1)s and are classified by asymptotic s-order slope; no global positive solutions exist for α outside this interval.
Title resolution pending
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
fields
math.AP 3verdicts
UNVERDICTED 3representative citing papers
Derives frequency-based boundary growth estimates and a Kemper-type boundary Harnack principle for the singular Lane-Emden-Fowler equation in Lipschitz domains.
Existence of solutions to -Pu = f/u^γ is shown for C^{1,1} domains with C^1 coefficients on P, and uniqueness in L^1 holds for C^2 domains with C^2 coefficients.
citing papers explorer
-
Classification of solutions to a weighted singular fractional problem in the half space
Positive solutions exhibit one-dimensional symmetry and monotonicity in x_n when -2s < α < (γ-1)s and are classified by asymptotic s-order slope; no global positive solutions exist for α outside this interval.
-
Boundary regularity theory of the singular Lane-Emden-Fowler equation in a Lipschitz domain
Derives frequency-based boundary growth estimates and a Kemper-type boundary Harnack principle for the singular Lane-Emden-Fowler equation in Lipschitz domains.
-
Singular semilinear elliptic equations in nondivergence form
Existence of solutions to -Pu = f/u^γ is shown for C^{1,1} domains with C^1 coefficients on P, and uniqueness in L^1 holds for C^2 domains with C^2 coefficients.