Zobrazeno 1 - 10
of 33
pro vyhledávání: '"Andrade, João Henrique"'
Autor:
de Andrade, João Henrique, Corona, Dario, Nardulli, Stefano, Piccione, Paolo, Ponciano, Raoní
We extend previous works on the multiplicity of solutions to the Allen-Cahn system on closed Riemannian manifolds by considering an arbitrary number of phases. Specifically, we show that on parallelizable manifolds, the number of solutions is bounded
Externí odkaz:
http://arxiv.org/abs/2410.17026
Under appropriate positivity hypotheses, we prove quantitative estimates for the total $k$-th order $Q$-curvature functional near minimizing metrics on any smooth, closed $n$-dimensional Riemannian manifold for every integer $1 \leq k < \frac{n}{2}$.
Externí odkaz:
http://arxiv.org/abs/2407.06934
Given a conformally variational scalar Riemannian invariant $I$, we identify a sufficient condition for a closed Riemannian manifold to admit finite regular coverings with many nonhomothetic conformal rescalings with $I$ constant. We also identify a
Externí odkaz:
http://arxiv.org/abs/2310.15798
This manuscript is devoted to constructing complete metrics with constant higher fractional curvature on punctured spheres with finitely many isolated singularities. Analytically, this problem is reduced to constructing singular solutions for a confo
Externí odkaz:
http://arxiv.org/abs/2307.03700
We prove nonuniqueness results for constant sixth order $Q$-metrics on complete locally conformally flat $n$-dimensional Riemannian manifolds with $n\geqslant 7$. More precisely, assuming a positive Green function exists for the sixth order GJMS oper
Externí odkaz:
http://arxiv.org/abs/2306.00679
We study compactness properties of the set of conformally flat singular metrics with constant, positive sixth order Q-curvature on a finitely punctured sphere. Based on a recent classification of the local asymptotic behavior near isolated singularit
Externí odkaz:
http://arxiv.org/abs/2302.05770
Autor:
Andrade, João Henrique, Wei, Juncheng
We classify the local asymptotic behavior of positive singular solutions to a class of subcritical sixth order equations on the punctured ball. Initially, using a version of the integral moving spheres technique, we prove that solutions are asymptoti
Externí odkaz:
http://arxiv.org/abs/2210.15102
Autor:
Andrade, João Henrique, Wei, Juncheng
We classify entire positive singular solutions to a family of critical sixth order equations in the punctured space with a non-removable singularity at the origin. More precisely, we show that when the origin is a non-removable singularity, solutions
Externí odkaz:
http://arxiv.org/abs/2210.04376
Autor:
Andrade, João Henrique, Conrado, Jackeline, Nardulli, Stefano, Piccione, Paolo, Resende, Reinaldo
We prove the existence of multiple solutions to the Allen--Cahn--Hilliard (ACH) vectorial equation (with two equations) involving a triple-well (triphasic) potential with a small volume constraint on a closed parallelizable Riemannian manifold. More
Externí odkaz:
http://arxiv.org/abs/2203.05034
Publikováno v:
In Journal of Differential Equations 25 December 2024 413:190-239
