Results 101 to 110 of about 9,027,533 (299)
Elliptic systems at resonance for jumping non-linearities
Electronic Journal of Differential Equations, 2016 In this article, we study the existence of nontrivial solutions for the problem $$\displaylines{ -\Delta u=\alpha _1u^{+}-\beta _1u^{-}+f(x,u,v)+h_1( x) \quad \text{in }\Omega, \cr -\Delta v=\alpha _2v^{+}-\beta _2v^{-}+g(x,u,v)+h_2( x) \quad \text ...
Hakim Lakhal, Brahim Khodja
doaj
A note on the variational structure of an elliptic system involving critical Sobolev exponent
Journal of Applied Mathematics, 2003 We consider an elliptic system involving critical growth conditions. We develop a technique of variational methods for elliptic systems. Using the well-known results of maximum principle for systems developed by Fleckinger et al.
Mario Zuluaga
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Advanced Functional Materials, EarlyView.BSA addition to physiological solutions enhances resistance of a Zn alloy to stress corrosion cracking (SCC) but reduces its corrosion resistance. Extended surface characterization explains the contrasting influences on corrosion and SCC. Unexpectedly, the alloy suffers transgranular SCC (TGSCC), despite extensive grain boundary precipitation. Thorough
RK Singh Raman +9 more
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Critical Neumann problem for nonlinear elliptic systems in exterior domains
Electronic Journal of Differential Equations, 2008 In this paper, we investigate the Neumann problem for a critical elliptic system in exterior domains. Assuming that the coefficient $Q(x)$ is a positive smooth function and $lambda$, $mugeq0$ are parameters, we examine the common effect of the mean ...
Jianfu Yang, Shengbing Deng
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Dirichlet type problem for the system of elliptic equations, which order degenerate at a line
Nonlinear Analysis, 2014 Dirichlet type problem in a bounded domain for the system of linear elliptic equations of second order, which degenerate into first order system at a line crossing the domain, is studied.
Stasys Rutkauskas
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Nonvariational Elliptic Systems
, 2015 In this paper, we present new concepts of sublinearity and super-linearity for elliptic systems of the form (P) {-Δu = f(u, v), - Δv = g(u,v) in Ω u = v = 0 on ∂Ω where Ω is a smooth bounded domain and f,g are continuous functions.
Alves C.O., De Figueiredo D.G.
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A class of alternate strip-based domain decomposition methods for elliptic partial differential Equations [PDF]
, 2005 The domain decomposition strategies proposed in this thesis are efficient preconditioning techniques with good parallelism properties for the discrete systems which arise from the finite element approximation of symmetric elliptic boundary value problems
Mihai, Loredana Angela
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Advanced Functional Materials, EarlyView.Printed negative‐dielectric‐anisotropy liquid‐crystal droplets enable multidimensional full‐vectorial optical‐field sensing across polarization, phase, and wavelength, while also generating tunable skyrmionic‐like complex optical fields. ABSTRACT Adaptive manipulation of vectorial optical fields is important for optical metrology, imaging, and ...
Jinge Guo +14 more
wiley +1 more source
On some nonlocal elliptic systems with multiple parameters
Advances in Pure and Applied Mathematics, 2020 Sh. Shahriyari +3 more
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