Results 51 to 60 of about 106,170 (279)
The Refined Sobolev Scale, Interpolation, and Elliptic Problems
The paper gives a detailed survey of recent results on elliptic problems in Hilbert spaces of generalized smoothness. The latter are the isotropic H\"ormander spaces $H^{s,\varphi}:=B_{2,\mu}$, with $\mu(\xi)=^{s}\varphi()$ for $\xi\in\mathbb{R}^{n ...
Mikhailets, Vladimir A. +1 more
core +1 more source
A biohybrid nanorobot integrating lytic bacteriophage N4 with Pd nanozymes is developed for targeted eradication of multidrug‐resistant E. coli biofilms. Synergistic bacterial lysis and ROS‐mediated oxidation enable simultaneous biofilm removal and antibiotic resistance genes degradation, maintaining high efficacy in complex wastewater environments ...
Junzheng Zhang +9 more
wiley +1 more source
Generalized boundary value problems for nonlinear elliptic equations
We give here an overview of some recent developments in the study of the description of all the positive solutions of {equation} -Delta u+|u|^{q-1}u=0 label{NLE} end{equation} in a domain $Omega$ where $q>1$.
Laurent Veron
doaj
C^{1,1} regularity for degenerate elliptic obstacle problems
The Heston stochastic volatility process is a degenerate diffusion process where the degeneracy in the diffusion coefficient is proportional to the square root of the distance to the boundary of the half-plane. The generator of this process with killing,
Daskalopoulos, Panagiota +1 more
core +1 more source
Singularities and treatments of elliptic boundary value problems
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Li, Z. C., Lu, T. T.
openaire +2 more sources
We introduce a new membrane‐active antifungal design, Gua‐SMACS‐16, that exhibits high potency and single‐species selectivity for C. tropicalis while sparing other close species in the Candida genus. Moreover, when combining with caspofungin, a clinical antifungal drug inhibiting 1,3‐β‐glucan synthase, they exhibit ultra‐strong synergy across a panel ...
Tianjiao Dai +8 more
wiley +1 more source
Bounds for nonlinear eigenvalue problems
We develop a technique for obtaining bounds on bifurcation curves of nonlinear boundary-value problems defined through nonlinear elliptic partial differential equations.
Rafael D. Benguria +1 more
doaj
On a superlinear elliptic boundary value problem at resonance [PDF]
Semilinear partial differential equations of the type − Δ u − λ 2 u + e u = h - \Delta u - {\lambda _2}u + {e^u} = h are studied and existence and multiplicity results obtained.
openaire +1 more source
This paper reviews the physics of liquid metals in RF devices, including the influence of mechanical strain on resonance as well as fabrication methods and strategies for designing tunable and strain‐tolerant inductors, capacitors, and antennas.
Md Saifur Rahman, William J. Scheideler
wiley +1 more source
Multiplicity of solutions for quasilinear elliptic boundary-value problems
This paper is concerned with the existence of multiple solutions to the boundary-value problem $$-(varphi_p(u') ) '=lambda varphi_q(u) +f(u)quadhbox{in } (0,1),,quad u(0) =u(1) =0,,$$ where $p,q>1$, $varphi_x(y) =|y|^{x-2}y$, $lambda $ is a real ...
Idris Addou
doaj

