Results 101 to 110 of about 581,251 (325)
Singular nonlinear elliptic equations in Rn
Abstract and Applied Analysis, 1998 This paper deals with existence, uniqueness and regularity of positive generalized solutions of singular nonlinear equations of the form −Δu+a(x)u=h(x)u−γ in Rn where a,h are given, not necessarily continuous functions, and γ is a positive number.
C. O. Alves, J. V. Goncalves, L. A. Maia
doaj +1 more source
[Elliptic Differential Equations] [PDF]
Reflection laws of systems of elliptic equations, on-line programming to numerically solve nonlinear integral equations, and reduction of electrostriction ...
core +1 more source
Calculus of Variations and Partial Differential Equations, 2019 In this paper, we study a nonlinear Dirichlet problem of p-Laplacian type with combined effects of nonlinear singular and convection terms. An existence theorem for positive solutions is established as well as the compactness of solution set.
Zhenhai Liu, D. Motreanu, Shengda Zeng
semanticscholar +1 more source
Interconversion of Optical to Terahertz Pulses in Nonlinear Beta Barium Borate Crystal
Advanced Physics Research, EarlyView.ABSTRACT Low‐temperature β‐phase barium borate (β‐BBO) is an important nonlinear crystal, widely utilized for optical second‐harmonic (SH) generation. Recent re‐measurements of refractive indices in the terahertz (THz) range reveal that β‐BBO is a positive uniaxial crystal.
Yingyu Guo +8 more
wiley +1 more source
Existence of Classical Solutions for Nonlinear Elliptic Equations with Gradient Terms. [PDF]
Entropy (Basel), 2022 Li Y, Ma W.
europepmc +1 more source
Engineered B7‐H3 Binding in Modular Gp2 Miniproteins
Biotechnology and Bioengineering, EarlyView.ABSTRACT B7‐H3, an important immune checkpoint modulator of T‐cell function, is a tumor vasculature biomarker and is overexpressed in a variety of cancers. Its expression is associated with tumor growth, metastasis, and poor clinical prognosis, which makes B7‐H3 an appealing target for diagnostics and therapeutics.
Abbigael Harthorn +5 more
wiley +1 more source
Electronic Journal of Differential Equations, 2000 solutions to nonlinear equations and to (non)resonant semilinear equations involving nonlinear perturbations of Fredholm maps of index zero. We apply our results to semilinear elliptic, and to semilinear parabolic and hyperbolic periodic boundary-value ...
P. S. Milojevic
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BMEMat, EarlyView.This study reports the development of AMS@Eud core‐shell microspheres, combining calcium alginate and pH‐responsive Eudragit® L100, which exhibit exceptional gastrointestinal resistance and long‐term storage stability (only 5.28%–9.09% viability loss over 35 days at 4–25°C), and effectively alleviate inflammatory bowel disease via gut microbiota ...
Ming Teng +5 more
wiley +1 more source
Bounds and compactness for solutions of second-order elliptic equations
Electronic Journal of Differential Equations, 2012 In this article, we establish some connections between Sobolev spaces and nonlinear singular elliptic problems, to obtain bounds and compactness results for solutions of second-order elliptic equations.
Carlos C. Aranda
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Carbon Energy, EarlyView.ABSTRACT Biochar has emerged as a useful and adaptable source of carbon for supercapacitor electrodes. Its value comes from the way biomass chemistry, thermal conversion, and activation conditions shape the resulting pore network, surface groups, and degree of carbon ordering.
Soumen Mandal +6 more
wiley +1 more source