Error Bounds for Discontinuous Finite Volume Discretisations of Brinkman Optimal Control Problems. [PDF]
Kumar S, Ruiz-Baier R, Sandilya R.
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Global existence of Dirac-wave maps with curvature term on expanding spacetimes. [PDF]
Branding V, Kröncke K.
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A class of nonlocal coupled semilinear parabolic system with nonlocal boundaries. [PDF]
Liu H, Lu H.
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Monotonicity and Symmetry of Nonnegative Solutions to -Δ u=f(u) in Half-Planes and Strips. [PDF]
Farina A, Sciunzi B.
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ADAPTIVE FINITE ELEMENT MODELING TECHNIQUES FOR THE POISSON-BOLTZMANN EQUATION. [PDF]
Holst M +4 more
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Revealing new dynamical patterns in a reaction-diffusion model with cyclic competition via a novel computational framework. [PDF]
Cangiani A +3 more
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Time optimal controls of the linear Fitzhugh-Nagumo equation with pointwise control constraints.
Kunisch K, Wang L.
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Semilinear Elliptic Equations with Singularity on the Boundary
Journal of Partial Differential Equations, 2002In this paper, we consider the existence and nonexistence of positive solutions to semilinear elliptic equation -Δu = K(x)(1-|x|)^{-λ_u^q} in the unit ball B with 0-Dirichlet boundary condition. Our main tools are based on the interior estimates of the Schauder type, the Schauder fixed point theorem and the pointwise estimates for Green functions.
Zeng, Youdong, Chen, Zuchi
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G-convergence and semilinear elliptic equations
Asymptotic Analysis, 1991We study the behavior of positive solutions of semilinear elliptic equations −div(a ε (x)Du ε =g(u ε ) with homogeneous Dirichlet boundary data, with respect to the G-convergence of the elliptic matrices a
DALL'AGLIO, Andrea, TCHOU N. A.
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Asymptotic properties of semilinear elliptic equations
Funkcialaj Ekvacioj, 1983Semilinear elliptic equations of the type (1) \(\Delta u+f(x,u)=0\) are considered in exterior domains \(\Omega \subset {\mathbb{R}}^ n\), \(n\geq 2\), where \(\Delta\) denotes the n-dimensional Laplacian and f is locally Hölder continuous in \(\Omega \times {\mathbb{R}}^+\).
Kusano, Takaŝi, Swanson, A. Charles
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