Results 31 to 40 of about 106,170 (279)
Sub-elliptic boundary value problems for quasilinear elliptic operators
Electronic Journal of Differential Equations, 1997 $C^{2+alpha}(overline{Omega})$ is proved for the oblique derivative problem $$cases{ a^{ij}(x)D_{ij}u + b(x,,u,,Du)=0 & in $Omega$,cr partial u/partial ell =varphi(x) & on $partial Omega$cr} $$ in the case when the vector field $ell(x)=(ell^1(x),ldots ...
Dian K. Palagachev, Peter R. Popivanov
doaj
Maximal regular boundary value problems in Banach-valued function spaces and applications
International Journal of Mathematics and Mathematical Sciences, 2006 The nonlocal boundary value problems for differential operator equations of second order with dependent coefficients are studied. The principal parts of the differential operators generated by these problems are non-selfadjoint.
Veli B. Shakhmurov
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Advanced Materials Technologies, EarlyView.This review explores advances in wearable and lab‐on‐chip technologies for breast cancer detection. Covering tactile, thermal, ultrasound, microwave, electrical impedance tomography, electrochemical, microelectromechanical, and optical systems, it highlights innovations in flexible electronics, nanomaterials, and machine learning.
Neshika Wijewardhane +4 more
wiley +1 more source
, 2018 We present two variational formulae for the capacity in the context of non-selfadjoint elliptic operators. The minimizers of these variational problems are expressed as solutions of boundary-value elliptic equations.
Landim, C., Mariani, M., Seo, I.
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An elliptic boundary value problem occurring in magnetohydrodynamics
manuscripta mathematica, 1993 Let \(\alpha, \beta \in \mathbb{R}\), \(\alpha < \beta\), \(I_{\alpha, \beta} : = (\alpha, \beta) \times \mathbb{R}\). The authors consider the elliptic operator \[ Lu : = - \sum^ 2_{i=1} D_ i \left( \sum^ 2_{j = 1} a_{ij} (x) D_ ju + a_ i (x)u \right) + \sum^ 2_{i = 1} \overline a_ i (x)D_ i u + a_ 0(x)u \] in \(I_{\alpha, \beta}\). Here \((a_{ij} (x))
Mennicken, R., Faierman, M., Möller, M.
openaire +2 more sources
Advanced Materials Technologies, EarlyView.Transducers convert physical signals into electrical and optical representations, yet each mechanism is bounded by intrinsic trade‐offs across bandwidth, sensitivity, speed, and energy. This review maps transduction mechanisms across physical scale and frequency, showing how heterogeneous integration and multiphysics co‐design transform isolated ...
Aolei Xu +8 more
wiley +1 more source
Nonlinear Elliptic Boundary Value Problems at Resonance with Nonlinear Wentzell Boundary Conditions
Advances in Mathematical Physics, 2017 Given a bounded domain Ω⊂RN with a Lipschitz boundary ∂Ω and p,q∈(1,+∞), we consider the quasilinear elliptic equation -Δpu+α1u=f in Ω complemented with the generalized Wentzell-Robin type boundary conditions of the form bx∇up-2∂nu-ρbxΔq,Γu+α2u=g on ∂Ω ...
Ciprian G. Gal, Mahamadi Warma
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Hard‐Magnetic Soft Millirobots in Underactuated Systems
Advanced Robotics Research, EarlyView.This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang +4 more
wiley +1 more source
Existence results for non-autonomous elliptic boundary value problems
Electronic Journal of Differential Equations, 1994 $$-Delta u(x) = lambda f(x, u);quad x in Omega$$ $$u(x) + alpha(x) frac{partial u(x)}{partial n} = 0;quad x in partial Omega$$ where $lambda > 0$, $Omega$ is a bounded region in $Bbb{R}^N$; $N geq 1$ with smooth boundary $partial Omega$, $alpha(x) geq 0$,
V. Anuradha, S. Dickens, R. Shivaji
doaj
Symmetrization for fractional Neumann problems
, 2016 In this paper we complement the program concerning the application of symmetrization methods to nonlocal PDEs by providing new estimates, in the sense of mass concentration comparison, for solutions to linear fractional elliptic and parabolic PDEs with ...
Volzone, Bruno
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