Search Results - "SICBALDI, Pieralberto"

New extremal domains for the first eigenvalue of the Laplacian in flat tori by Sicbaldi, Pieralberto

“…We prove the existence of nontrivial compact extremal domains for the first eigenvalue of the Laplacian in manifolds with flat metric, for some T > 0. These…”
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A Smooth 1-Parameter Family of Delaunay-Type Domains for an Overdetermined Elliptic Problem in Sn×R and Hn×R by Dai, Guowei, Morabito, Filippo, Sicbaldi, Pieralberto

“…We prove the existence of a non-compact smooth one-parameter family of domains Ω s ⊂ M n × R , where M n denotes the Riemannian manifold S n or H n (for n ≥ 2…”
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Bifurcating extremal domains for the first eigenvalue of the Laplacian by Schlenk, Felix, Sicbaldi, Pieralberto

“…We prove the existence of a smooth family of non-compact domains Ω s ⊂ R n + 1 , n ⩾ 1 , bifurcating from the straight cylinder B n × R for which the first…”
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Geometry and topology of some overdetermined elliptic problems by Ros, Antonio, Sicbaldi, Pieralberto

“…We study necessary conditions on the geometry and the topology of domains in R2 that support a positive solution to a classical overdetermined elliptic…”
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Overdetermined elliptic problems in onduloid-type domains with general nonlinearities by Ruiz, David, Sicbaldi, Pieralberto, Wu, Jing

“…In this paper, we prove the existence of nontrivial unbounded domains Ω⊂Rn+1,n≥1, bifurcating from the straight cylinder B×R (where B is the unit ball of Rn),…”
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A Rigidity Result for Overdetermined Elliptic Problems in the Plane by Ros, Antonio, Ruiz, David, Sicbaldi, Pieralberto

“…Let f:[0,+∞)→ℝ be a (locally) Lipschitz function and Ω⊂ℝ2 a C1,α domain whose boundary is unbounded and connected. If there exists a positive bounded solution…”
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Overdetermined elliptic problems in nontrivial contractible domains of the sphere by Ruiz, David, Sicbaldi, Pieralberto, Wu, Jing

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A Smooth 1-Parameter Family of Delaunay-Type Domains for an Overdetermined Elliptic Problem in $$\mathbb {S}^n\times \mathbb {R}$$ and $$\mathbb {H}^n\times \mathbb {R} by Dai, Guowei, Morabito, Filippo, Sicbaldi, Pieralberto

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New Examples of Extremal Domains for the First Eigenvalue of the Laplace–Beltrami Operator in a Riemannian Manifold with Boundary by Lamboley, Jimmy, Sicbaldi, Pieralberto

“…We build new examples of extremal domains with small prescribed volume for the first eigenvalue of the Laplace-Beltrami operator in some Riemannian manifolds…”
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Geometry and topology of some overdetermined elliptic problems by Ros, Antonio, Sicbaldi, Pieralberto

“…We prove some geometric and topological properties for unbounded domains of the plane that support a positive solution to some elliptic equations, with 0…”
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EXTREMAL DOMAINS FOR THE FIRST EIGENVALUE OF THE LAPLACE-BELTRAMI OPERATOR by PACARD, Frank, SICBALDI, Pieralberto

“…We prove the existence of extremal domains with small prescribed volume for the first eigenvalue of Laplace-Beltrami operator in some Riemannian manifold…”
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Modica type estimates and curvature results for overdetermined elliptic problems by Ruiz, David, Sicbaldi, Pieralberto, Wu, Jing

“…Comm. Contemp. Math.(2024) In this paper, we establish a Modica type estimate on bounded solutions to the overdetermined elliptic problem \begin{equation*}…”
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Overdetermined elliptic problems in nontrivial exterior domains of the hyperbolic space by Dai, Guowei, Sicbaldi, Pieralberto, Zhang, Yong

“…We construct nontrivial unbounded domains $\Omega$ in the hyperbolic space $\mathbb{H}^N$, $N \in \{2,3,4\}$, bifurcating from the complement of a ball, such…”
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Nontrivial solutions to the relative overdetermined torsion problem in a cylinder by Pacella, Filomena, Ruiz, David, Sicbaldi, Pieralberto

“…Given a bounded regular domain $\omega \subset \mathbb{R}^{N-1}$ and the half-cylinder $\Sigma = \omega \times (0,+\infty)$, we consider the relative…”
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Overdetermined elliptic problems in nontrivial contractible domains of the sphere by Ruiz, David, Sicbaldi, Pieralberto, Wu, Jing

“…In this paper, we prove the existence of nontrivial contractible domains $\Omega\subset\mathbb{S}^{d}$, $d\geq2$, such that the overdetermined elliptic problem…”
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Existence and regularity of Faber Krahn minimizers in a Riemannian manifold by Lamboley, Jimmy, Sicbaldi, Pieralberto

“…In this paper, we study the minimization of $\lambda_{1}(\Omega)$, the first Dirichlet eigenvalue of the Laplace-Beltrami operator, within the class of open…”
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A Schiffer-type problem for annuli with applications to stationary planar Euler flows by Enciso, Alberto, Fernández, Antonio J, Ruiz, David, Sicbaldi, Pieralberto

“…If on a smooth bounded domain $\Omega\subset\mathbb{R}^2$ there is a nonconstant Neumann eigenfunction $u$ that is locally constant on the boundary, must…”
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New examples of extremal domains for the first eigenvalue of the Laplace-Beltrami operator in a Riemannian manifold with boundary by Lamboley, Jimmy, Sicbaldi, Pieralberto

“…We build new examples of extremal domains with small prescribed volume for the first eigenvalue of the Laplace-Beltrami operator in some Riemannian manifold…”
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Half space theorem for the Allen-Cahn equation and related problems by Hamel, Francois, Liu, Yong, Sicbaldi, Pieralberto, Wang, Kelei, Wei, Juncheng

“…In this paper we obtain rigidity results for a bounded non-constant entire solution $u$ of the Allen-Cahn equation in $\mathbb{R}^n$, whose level set $\{u=0\}$…”
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Extremal Domains of Big Volume for the First Eigenvalue of the Laplace-Beltrami Operator in a Compact Manifold by Sicbaldi, Pieralberto

“…We prove the existence of extremal domains for the first eigenvalue of the Laplace-Beltrami operator in some compact Riemannian manifolds of dimension $n \geq…”
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