Results 131 to 140 of about 3,081 (308)
Dimension of the set of positive solutions to nonlinear equations and applications
Electronic Journal of Differential Equations, 2016 We study the covering dimension of the set of (positive) solutions to various classes of nonlinear equations involving condensing and A-proper maps. It is based on the nontriviality of the fixed point index of a certain condensing map or on oddness ...
Petronije S. Milojevic
doaj
Standing Waves in the FitzHugh-Nagumo System and a Problem in Combinatorial Geometry
, 2006 We show that there is a close relation between standing-wave solutions for the FitzHugh-Nagumo system \[ \Delta u +u(u-a)(1-u) - \delta v=0, \ \ \Delta v-\delta \gamma v + u=0 \ \ \mbox{in} \ R^N,\] \[ u, v \to 0 \ \mbox{as} \ |x| \to +\infty ...
Winter, M +3 more
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Marine silicon for biomedical sustainability
BMEMat, EarlyView.Schematic illustrating marine silicon for biomedical engineering. Abstract Despite momentous divergence from oceanic origin, human beings and marine organisms exhibit elemental homology through silicon utilization. Notably, silicon serves as a critical constituent in multiple biomedical processes.
Yahui Han +3 more
wiley +1 more source
ComputationIn this study, we utilize the ϕ6-model expansion method to derive a diverse set of Jacobi elliptic function solutions for the conformable resonant Nonlinear Schrödinger Equation (NLSE) with parabolic law nonlinearity.
Du’a Al-zaleq +2 more
doaj +1 more source
Generating Singularities of Solutions of Quasilinear Elliptic Equations
Journal of Mathematical Analysis and Applications, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Compensation phenomena in geometric partial differential equations [PDF]
In this thesis we present optimal and improved estimates for systems of critical elliptic PDE which arise as generalisations of natural geometric problems.
Sharp, Benjamin G.
core
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
Optimal boundary regularity for nonlinear singular elliptic equations
, 2015 In this paper we prove the optimal boundary regularity under natural structural conditions for a large class of nonlinear elliptic equations with singular terms near the boundary.
Wang, Xu-Jia, Jian, Huaiyu
core +1 more source
Carbon Energy, EarlyView.This review provides a comprehensive and systematic overview of the multifunctional design strategies for solid polymer electrolytes (SPEs), a pivotal component for enabling high‐performance all‐solid‐state batteries (ASSBs). It begins with a detailed classification of SPE systems and elaborates on their respective molecular design principles. The work
Bin Man +11 more
wiley +1 more source
Class invariants from a new kind of Weber-like modular equation [PDF]
A technique is described for explicitly evaluating quotients of the Dedekind eta function at quadratic integers. These evaluations do not make use of complex approximations but are found by an entirely `algebraic' method.
Hart, William B.
core