Isoperimetry for semilinear torsion problems in Riemannian two-manifolds
From MaRDI portal
Publication:765653
DOI10.1016/j.aim.2012.01.009zbMath1243.49052OpenAlexW2007453484WikidataQ115362077 ScholiaQ115362077MaRDI QIDQ765653
Publication date: 21 March 2012
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2012.01.009
Global Riemannian geometry, including pinching (53C20) Optimization of shapes other than minimal surfaces (49Q10) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Interpolating between torsional rigidity and principal frequency
- Brunn-Minkowski inequalities for variational functionals and related problems
- Zur isoperimetrischen Ungleichung auf gekrümmten Flächen
- Extremal domains for the first eigenvalue of the Laplace-Beltrami operator
- On the parabolic kernel of the Schrödinger operator
- A sharp inequality of J. Moser for higher order derivatives
- Symmetry and related properties via the maximum principle
- On the torsion function, Green's function and conformal radius: An isoperimetric inequality of Polya and Szegö, some extensions and applications
- Maximum principles and their applications
- Complete surfaces with finite total curvature
- Extremal functions for the Trudinger-Moser inequality in 2 dimensions
- Variational problems with concentration
- Complete surfaces of at most quadratic area growth
- On the structure of spaces with Ricci curvature bounded below. I
- Area inequality and \(Q_{p}\) norm
- Domain deformations and eigenvalues of the Dirichlet Laplacian in a Riemannian manifold
- Vanishing and finiteness results in geometric analysis. A generalization of the Bochner technique
- The Caffarelli-Kohn-Nirenberg inequalities on complete manifolds
- Conductor and capacitary inequalities for functions on topological spaces and their applications to Sobolev-type imbeddings
- A new isoperimetric comparison theorem for surfaces of variable curvature
- A geometrical mass and its extremal properties for metrics on \(S^2\)
- On the isoperimetric inequality on surfaces of variable Gaussian curvature
- Geometric versions of Schwarz’s lemma for quasiregular mappings
- Volume integral means of holomorphic functions
- Exit times for elliptic diffusions and BMO
- Isoperimetric inequalities and H p estimates
- Multi-point variations of the Schwarz lemma with diameter and width conditions
- A Schwarz lemma for meromorphic functions and estimates for the hyperbolic metric
- Area, capacity and diameter versions of Schwarz’s Lemma
- Area-minimizing projective planes in 3-manifolds
- Total Curvatures and Minimal Areas of Complete Open Surfaces
- Logarithmic Sobolev Inequalities
- Geometric asymptotics and the logarithmic Sobolev inequality
- Green’s function, harmonic transplantation, and best Sobolev constant in spaces of constant curvature
- Harmonic Radius and Concentration of Energy; Hyperbolic Radius and Liouville’s Equations $\Delta U = e^U $ and $\Delta U = U^{\tfrac{{n + 2}}{{n - 2}}} $
- Extremal functions for Moser’s inequality
- Versions of Schwarz's Lemma for Condenser Capacity and Inner Radius
- L p -Green potential estimates on noncompact Riemannian manifolds
- Geodesic Parallel Coordinates in the Large
- Partially Alternate Derivation of a Result of Nelson
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
