Results 41 to 50 of about 2,303 (168)
Resonance and quasilinear ellipticity [PDF]
Two resonance-type existence theorems for periodic solutions of second order quasilinear elliptic partial differential equations are established. The first theorem is a best possible result, and the second theorem presents conditions which are both necessary and sufficient.
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Influence of Competitive C–P Segregation on Austenite Grain Growth in Iron Alloys
This study investigates how carbon influences phosphorus‐induced solute drag effects during isothermal annealing of austenite grain growth in Fe–C–P alloys. Using in situ high‐temperature laser scanning confocal microscopy and density functional theory simulations, it demonstrates that carbon above a critical temperature significantly reduces P ...
Maximilian Kern +4 more
wiley +1 more source
Bifurcation for elliptic forth-order problems with quasilinear source term
We study the bifurcations of the semilinear elliptic forth-order problem with Navier boundary conditions $$\displaylines{ \Delta^2 u - \hbox{div} ( c(x) \nabla u ) = \lambda f(u) \quad \text{in }\Omega, \cr \Delta u = u = 0 \quad\text{on } \partial \
Soumaya Saanouni, Nihed Trabelsi
doaj
Diffusion Coefficients for Resonant Relativistic Wave‐Particle Interactions Using the PIRAN Code
Abstract Quasilinear diffusion coefficients can be used to model the response of charged particles to resonant wave‐particle interactions. The calculation of these coefficients is sufficiently complicated and arduous to render it prohibitive to many potential users, because of the expense in time spent developing the code.
Oliver Allanson +12 more
wiley +1 more source
Existence and uniqueness of classical solutions to second-order quasilinear elliptic equations
This article studies the existence of solutions to the second-order quasilinear elliptic equation $$ - abla cdot(a(u) abla u) +mathbf{v}cdot abla u=f $$ with the condition $u(mathbf{x}_0)=u_0$ at a certain point in the domain, which is the 2 or ...
Diane L. Denny
doaj
Phase‐Space Synchronization Driven by Moon‐Magnetosphere Coupling in Gas Giants
Abstract We present a new theoretical framework to describe the rapid and spatially localized loss of energetic particles in planetary radiation belts, focusing on interactions between gas giant magnetospheres and their moons. Observations show that flux depletions—known as microsignatures—often refill on timescales comparable to a single drift period,
Adnane Osmane +2 more
wiley +1 more source
Existence of multiple solutions for quasilinear elliptic equations in R^N
In this article, we establish the multiplicity of positive weak solution for the quasilinear elliptic equation $$\displaylines{ -\Delta_p u+\lambda|u|^{p-2}u=f(x) |u|^{s-2 }u+h(x)|u|^{r-2}u\quad x\in \mathbb{R}^N,\cr u>0\quad x\in \mathbb{R}^N ...
Honghui Yin, Zuodong Yang
doaj
Trade costs, infrastructure, and dynamics in a global economy
Abstract This study develops a dynamic two‐country model with trade costs linked to international infrastructure stock. With variable markups and firm heterogeneity, the welfare impact of trade costs depends on firms' cost distribution. Governments engage in a dynamic public investment game, leading to multiple steady states. The dynamic equilibrium of
Akihiko Yanase
wiley +1 more source
Sobolev regularity solutions for a class of singular quasilinear ODEs
This paper considers an initial-boundary value problem for a class of singular quasilinear second-order ordinary differential equations with the constraint condition stemming from fluid mechanics.
Zhao Xiaofeng, Li Hengyan, Yan Weiping
doaj +1 more source
Resonant Problems by Quasilinearization [PDF]
The Dirichlet resonant boundary value problems are considered. If the respective nonlinear equation can be reduced to a quasilinear one with a nonresonant linear part and both equations are equivalent in some domainΩand if solutions of the quasilinear problem are inΩ, then the original problem has a solution.
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