Results 81 to 90 of about 238,845 (376)
Diffusion Coefficients Estimation for Elliptic Partial Differential Equations [PDF]
SIAM Journal on Mathematical Analysis, 2017 25 ...
Bonito, Andrea +4 more
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, 2007 We establish an extension of Liouville's classical representation theorem for solutions of the partial differential equation $\Delta u=4 e^{2u}$ and combine this result with methods from nonlinear elliptic PDE to construct holomorphic maps with ...
Kraus, Daniela, Roth, Oliver
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On class of elliptic partial differential equations in four variables [PDF]
Pacific Journal of Mathematics, 1964 where A(r), C(r) are analytic functions of the real variable r = x^Xμ. [μ = 1, 2, 3] (Repeated indices mean the summation convention is used.) In this paper we shall investigate the four variable analogue of this equation, TA[W] = 0, and show that many of Bergman's results carry over to this case. Here, we need in many instances, the methods of several
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Advanced Functional Materials, EarlyView.A thermoplastic elastomeric glue electrolyte featuring a strongly segregated PVA‐g‐PTFP bottlebrush copolymer exhibits a nanoscale domain architecture, dual‐ion transport pathways, and universal strong interfacial adhesion. The system delivers high ionic conductivity, wide electrochemical stability, and mechanical robustness, offering a versatile ...
Hyuk Jin Roh +4 more
wiley +1 more source
Regularity of radial extremal solutions for some non local semilinear equations
, 2010 We investigate stable solutions of elliptic equations of the type \begin{equation*} \left \{ \begin{aligned} (-\Delta)^s u&=\lambda f(u) \qquad {\mbox{ in $B_1 \subset \R^{n}$}} \\ u&= 0 \qquad{\mbox{ on $\partial B_1$,}}\end{aligned}\right .
Capella, Antonio +3 more
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Inducing Chirality and Chiral Instabilities in Ferrogels with Homogenous Magnetic Fields
Advanced Functional Materials, EarlyView.By pre‐aligning magnetic particles into chains, significant chiral deformations are induced by fixing the base of a cylindrical actuator and applying a homogeneous magnetic field. Subsequent base rotation can drive the system into metastable states. Further rotation or reduction of field strength triggers a chiral instability, characterized by a switch
Francisco J. Vazquez‐Perez +4 more
wiley +1 more source
Reinforcement of Planar Structures along Orthogonal Curvilinear Trajectories
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2010 The resolving equations for linear orthotropic non-homogeneous elasticity problem, including the deformation compatibility equation, are obtained in cases of bipolar, elliptic, parabolic, hyperbolic and cardioidal coordinate systems for planar ...
Yu. V. Nemirovsky, N. A. Feodorova
doaj +3 more sources
Peptide Sequencing With Single Acid Resolution Using a Sub‐Nanometer Diameter Pore
Advanced Functional Materials, EarlyView.To sequence a single molecule of Aβ1−42–sodium dodecyl sulfate (SDS), the aggregate is forced through a sub‐nanopore 0.4 nm in diameter spanning a 4.0 nm thick membrane. The figure is a visual molecular dynamics (VMD) snapshot depicting the translocation of Aβ1−42–SDS through the pore; only the peptide, the SDS, the Na+ (yellow/green) and Cl− (cyan ...
Apurba Paul +8 more
wiley +1 more source
Singularities of Nonlinear Elliptic Systems
, 2013 Through Morrey's spaces (plus Zorko's spaces) and their potentials/capacities as well as Hausdorff contents/dimensions, this paper estimates the singular sets of nonlinear elliptic systems of the even-ordered Meyers-Elcrat type and a class of quadratic ...
Chiarenza F. +10 more
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An eigenvalue problem for nonlinear elliptic partial differential equations [PDF]
Transactions of the American Mathematical Society, 1965 (1) U JOGD= Du JOG= = Dm'UIaG = 0, where A is a real number and f(t, x) is a real-valued function defined on R' x G with f (0, x) 0. Iff (u, x) u, the study of the boundary value problem (1) forms the foundation of the spectral analysis of A, a problem of great importance both in mathematics and its applications.
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