Results 11 to 20 of about 3,208 (150)
Spectral Stability of the Neumann Laplacian [PDF]
arXiv, 2001 We prove the equivalence of Hardy- and Sobolev-type inequalities, certain uniform bounds on the heat kernel and some spectral regularity properties of the Neumann Laplacian associated with an arbitrary region of finite measure in Euclidean space. We also prove that if one perturbs the boundary of the region within a uniform H\"older category then the ...
Burenkov, V. I., Davies, E. B.
arxiv +4 more sources
Puntos críticos y simetrías en problemas elípticos
Revista Integración, 2017 Se estima una cota superior para el número de puntos críticos de la solución de un problema semilineal elíptico con condición de Dirichlet nula en el borde de un dominio planar.
Jaime Arango +2 more
doaj +2 more sources
Oblique Injection of Incompressible Ideal Fluid from a Slot into a Free Stream [PDF]
SIAM Journal on Mathematical Analysis, 2020 This paper deals with a two-phase fluid free boundary problem in a slotfilm cooling. We give two well-posedness results on the existence and uniqueness of the incompressible inviscid two-phase fluid with a jump relation on free interface.
Jianfeng Cheng, Lili Du
semanticscholar +1 more source
LOCALIZATION FOR THE TORSION FUNCTION AND THE STRONG HARDY INEQUALITY
Mathematika, Volume 67, Issue 2, Page 514-531, April 2021., 2021 Abstract Two‐sided bounds for the efficiency of the torsion function are obtained in terms of the square of the distance to the boundary function under the hypothesis that the Dirichlet Laplacian satisfies a strong Hardy inequality. Localization properties of the torsion function are obtained under that hypothesis. An example is analyzed in detail.
M. van den Berg, T. Kappeler
wiley +1 more source
Identification of discontinuous parameters in double phase obstacle problems
Advances in Nonlinear Analysis, 2022 In this article, we investigate the inverse problem of identification of a discontinuous parameter and a discontinuous boundary datum to an elliptic inclusion problem involving a double phase differential operator, a multivalued convection term (a ...
Zeng Shengda +3 more
doaj +1 more source
On the uniqueness for weak solutions of steady double-phase fluids
Advances in Nonlinear Analysis, 2021 We consider a double-phase non-Newtonian fluid, described by a stress tensor which is the sum of a p-Stokes and a q-Stokes stress tensor, with 1
Abdelwahed Mohamed +2 more
doaj +1 more source
Regularity of optimal mapping between hypercubes
Advanced Nonlinear Studies, 2023 In this note, we establish the global C3,α{C}^{3,\alpha } regularity for potential functions in optimal transportation between hypercubes in Rn{{\mathbb{R}}}^{n} for n≥3n\ge 3. When n=2n=2, the result was proved by Jhaveri.
Chen Shibing, Liu Jiakun, Wang Xu-Jia
doaj +1 more source
Sign changing solutions of Poisson's equation
Proceedings of the London Mathematical Society, Volume 121, Issue 3, Page 513-536, September 2020., 2020 Abstract Let Ω be an open, possibly unbounded, set in Euclidean space Rm with boundary ∂Ω, let A be a measurable subset of Ω with measure |A| and let γ∈(0,1). We investigate whether the solution vΩ,A,γ of −Δv=γ1Ω∖A−(1−γ)1A with v=0 on ∂Ω changes sign. Bounds are obtained for |A| in terms of geometric characteristics of Ω (bottom of the spectrum of the ...
M. van den Berg, D. Bucur
wiley +1 more source
Sobolev regularity solutions for a class of singular quasilinear ODEs
Advances in Nonlinear Analysis, 2021 This paper considers an initial-boundary value problem for a class of singular quasilinear second-order ordinary differential equations with the constraint condition stemming from fluid mechanics.
Zhao Xiaofeng, Li Hengyan, Yan Weiping
doaj +1 more source
IDENTIFICATION OF BURST PARAMETERS USING NUMERICAL QUASICONFORMAL MAPPING METHODS
, 2020 The complex analysis methodology (method and corresponding algorithm) for solving the problems of applied quasipotential tomography developed by us, and which assumes (for each of the respective injections) the presence of only equipotential lines (with ...
A. Bomba, M. Boichura
semanticscholar +1 more source