Results 61 to 70 of about 1,372 (214)
Un nuovo approccio alle disuguaglianze isoperimetriche quantitative
Bruno Pini Mathematical Analysis Seminar, 2011 We introduce a new variational method for studying geometric and functional inequalities with quantitative terms. In the context of isoperimetric-type inequalities, this method (called Selection Principle) is based on a penalization technique combined ...
Gian Paolo Leonardi
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Shape optimization for an elliptic operator with infinitely many positive and negative eigenvalues
Advances in Nonlinear Analysis, 2018 This paper deals with an eigenvalue problem possessing infinitely many positive and negative eigenvalues. Inequalities for the smallest positive and the largest negative eigenvalues, which have the same properties as the fundamental frequency, are ...
Bandle Catherine, Wagner Alfred
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Isoperimetric inequalities in surround system and space science
Journal of Inequalities and Applications, 2016 By means of the algebraic, analysis, convex geometry, computer, and inequality theories we establish the following isoperimetric inequality in the centered 2-surround system S ( 2 ) { P , Γ , l } $S^{(2)} \{P,\varGamma ,l \}$ : ( 1 | Γ | ∮ Γ r ¯ P p ) 1 /
JiaJin Wen, Jun Yuan, ShanHe Wu
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Isoperimetric inequalities for conformal moments of plane domains
, 2020 We prove a new sharp inequality for norms in weighted Bergman space. This inequality is then used to derive isoperimetric inequalities for geometric functionals which are closely related to the torsional rigidity of a simply connected ...
Salahudinov R., Avkhadiev F.
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Harmonic maps to the circle with higher dimensional singular set
Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.Abstract In a closed, oriented ambient manifold (Mn,g)$(M^n,g)$ we consider the problem of finding S1$\mathbb {S}^1$‐valued harmonic maps with prescribed singular set. We show that the boundary of any oriented (n−1)$(n-1)$‐submanifold can be realised as the singular set of an S1$\mathbb {S}^1$‐valued map, which is classically harmonic away from the ...
Marco Badran
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Reverse isoperimetric inequalities for Lagrangian intersection Floer theory
Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.Abstract We extend Groman and Solomon's reverse isoperimetric inequality to pseudoholomorphic curves with punctures at the boundary and whose boundary components lie in a collection of Lagrangian submanifolds with intersections locally modelled on Rn∩(Rk×−1Rn−k)$\mathbb {R}^n\cap (\mathbb {R}^{k}\times \sqrt {-1}\mathbb {R}^{n-k})$ inside Cn$\mathbb {C}
J. ‐P. Chassé, J. Hicks, Y. J. Nho
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Stability of reverse isoperimetric inequalities in the plane: Area, Cheeger, and inradius
Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.Abstract In this paper, we present stability results for various reverse isoperimetric problems in R2$\mathbb {R}^2$. Specifically, we prove the stability of the reverse isoperimetric inequality for λ$\lambda$‐convex bodies — convex bodies with the property that each of their boundary points p$p$ supports a ball of radius 1/λ$1/\lambda$ so that the ...
Kostiantyn Drach, Kateryna Tatarko
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Nonlocal quantitative isoperimetric inequalities [PDF]
, 2015 We show a quantitative-type isoperimetric inequality for fractional perimeters where the deficit of the -perimeter, up to multiplicative constants, controls from above that of the -perimeter, with smaller than .
Ruffini, Berardo +11 more
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Pólya's conjecture for Dirichlet eigenvalues of annuli
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We prove Pólya's conjecture for the eigenvalues of the Dirichlet Laplacian on annular domains. Our approach builds upon and extends the methods we previously developed for disks and balls. It combines variational bounds, estimates of Bessel phase functions, refined lattice point counting techniques and a rigorous computer‐assisted analysis. As
Nikolay Filonov +3 more
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Isoperimetric inequalities in the plane [PDF]
, 2022 Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Joaquim Ortega Cerdà[en] The main goal of this work is to study different geometric inequalities in the plane.
Pol Blesa, Bernat
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