Derives frequency-based boundary growth estimates and a Kemper-type boundary Harnack principle for the singular Lane-Emden-Fowler equation in Lipschitz domains.
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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.
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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.
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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.