Results 1 to 10 of about 2,919 (121)
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
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
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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
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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
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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
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On the nonlinear perturbations of self-adjoint operators
Advances in Nonlinear Analysis, 2022 Using elements of the theory of linear operators in Hilbert spaces and monotonicity tools we obtain the existence and uniqueness results for a wide class of nonlinear problems driven by the equation Tx=N(x)Tx=N\left(x), where TT is a self-adjoint ...
Bełdziński Michał +2 more
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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
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On a weighted elliptic equation of N-Kirchhoff type with double exponential growth
Demonstratio Mathematica, 2022 In this work, we study the weighted Kirchhoff problem −g∫Bσ(x)∣∇u∣Ndxdiv(σ(x)∣∇u∣N−2∇u)=f(x,u)inB,u>0inB,u=0on∂B,\left\{\begin{array}{ll}-g\left(\mathop{\displaystyle \int }\limits_{B}\sigma \left(x)| \nabla u\hspace{-0.25em}{| }^{N}{\rm{d}}x\right){\rm ...
Abid Imed, Baraket Sami, Jaidane Rached
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Electromagnetic Wave Scattering by Small Impedance Particles of an Arbitrary Shape and Applications
Challenges, 2014 The proposal deals with electromagnetic (EM) wave scattering by one and many small impedance particles of an arbitrary shape. Analytic formula is derived for EM wave scattering by one small impedance particle of an arbitrary shape and an integral ...
Alexander G. Ramm
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Open Mathematics, 2020 This paper focuses on the existence and the multiplicity of classical radially symmetric solutions of the mean curvature problem:−div∇v1+|∇v|2=f(x,v,∇v)inΩ,a0v+a1∂v∂ν=0on∂Ω,\left\{\begin{array}{ll}-\text{div}\left(\frac{\nabla v}{\sqrt{1+|\nabla v{|}^{2}}
Obersnel Franco, Omari Pierpaolo
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