Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities
J Serrin, H Zou - 2002 - projecteuclid.org
Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and
inequalities Page 1 Acta Math., 189 (2002), 79-142 @ 2002 by Institut Mittag-Leitter. All rights …
inequalities Page 1 Acta Math., 189 (2002), 79-142 @ 2002 by Institut Mittag-Leitter. All rights …
[图书][B] Linear and Nonlinear Aspects of Vortices: The Ginzburg-andau Model
F Pacard, T Riviere - 2012 - books.google.com
Equations of the Ginzburg–Landau vortices have particular applications to a number of
problems in physics, including phase transition phenomena in superconductors, superfluids …
problems in physics, including phase transition phenomena in superconductors, superfluids …
Refined asymptotics for constant scalar curvature metrics with isolated singularities
We consider the asymptotic behaviour of positive solutions u of the conformal scalar
curvature equation,, in the neighbourhood of isolated singularities in the standard Euclidean …
curvature equation,, in the neighbourhood of isolated singularities in the standard Euclidean …
From constant mean curvature hypersurfaces to the gradient theory of phase transitions
Given a nondegenerate minimal hypersurface Σ in a Riemannian manifold, we prove that,
for all ε small enough there exists uε, a critical point of the Allen-Cahn energy Eε (u)= ε2∫|∇ …
for all ε small enough there exists uε, a critical point of the Allen-Cahn energy Eε (u)= ε2∫|∇ …
Constant scalar curvature metrics with isolated singularities
1. Introduction and statement of the results. In this paper, we construct solutions of the
Yamabe problem on the sphere (SN, g0) with its standard metric, that are singular at a …
Yamabe problem on the sphere (SN, g0) with its standard metric, that are singular at a …
Recent progress on the fractional Laplacian in conformal geometry
M del Mar González - arXiv preprint arXiv:1609.08988, 2016 - degruyter.com
The aim of this paper is to report on recent development on the conformal fractional
Laplacian, both from the analytic and geometric points of view, but especially towards the …
Laplacian, both from the analytic and geometric points of view, but especially towards the …
On higher-dimensional singularities for the fractional Yamabe problem: a nonlocal Mazzeo–Pacard program
We consider the problem of constructing solutions to the fractional Yamabe problem which
are singular at a given smooth submanifold, for which we establish the classical gluing …
are singular at a given smooth submanifold, for which we establish the classical gluing …
Degenerations of and Calabi–Yau metrics
G Székelyhidi - 2019 - projecteuclid.org
We construct infinitely many complete Calabi–Yau metrics on C n for n≥ 3, with maximal
volume growth and singular tangent cones at infinity. In addition, we construct Calabi–Yau …
volume growth and singular tangent cones at infinity. In addition, we construct Calabi–Yau …
[HTML][HTML] Singular solutions of a p-Laplace equation involving the gradient
In this article we obtain positive singular solutions of (1){− Δ pu=|∇ u| qin Ω, u= 0 on∂ Ω,
where Ω is a small C 2 perturbation of the unit ball in R N. For (p− 1) NN− 1< q< p< N we …
where Ω is a small C 2 perturbation of the unit ball in R N. For (p− 1) NN− 1< q< p< N we …
Singular solutions of fractional order conformal Laplacians
Singular Solutions of Fractional Order Conformal Laplacians Page 1 J Geom Anal (2012) 22:845–863
DOI 10.1007/s12220-011-9217-9 Singular Solutions of Fractional Order Conformal Laplacians …
DOI 10.1007/s12220-011-9217-9 Singular Solutions of Fractional Order Conformal Laplacians …