Results 1 to 10 of about 16,079 (267)
Loitering at the hilltop on exterior domains
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this paper we prove the existence of an infinite number of radial solutions of $\Delta u + f(u)= 0$ on the exterior of the ball of radius $R>0$ centered at the origin and $f$ is odd with $f0$ on $(\beta, \delta),$ and $f\equiv 0$ for $u> \delta$.
Joseph Iaia
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Maximal Hypersurfaces over Exterior Domains [PDF]
Communications on Pure and Applied Mathematics, 2020 Exterior problems for the maximal surface equation are studied. We obtain the precise asymptotic behavior of the exterior solution at infinity. We also prove that the exterior Dirichlet problem is uniquely solvable for admissible boundary data and prescribed asymptotic behavior at infinity. © 2020 Wiley Periodicals LLC.
Hong, Guanghao, Yuan, Yu
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An Exterior Neumann Boundary-Value Problem for the Div-Curl System and Applications
Mathematics, 2021 We investigate a generalization of the equation curlw→=g→ to an arbitrary number n of dimensions, which is based on the well-known Moisil–Teodorescu differential operator.
Briceyda B. Delgado +1 more
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Hardy’s inequality on exterior domains [PDF]
Proceedings of the American Mathematical Society, 2005 Let \(\Omega\) be an unbounded domain of \(\mathbb R^N\) with a compact boundary of class \(C^2\) and let \(p>1\) be a real number. Denote \(\delta\,(x)= \text{dist}\,(x,\partial\Omega)\) and set \[ \mu_p(\Omega)=\inf\left\{\int_\Omega | \nabla u|^p;\;u\in {\mathcal D}_0^{1,p}(\Omega),\;\int_\Omega | u/\delta |^pdx=1\right\} \] and \(c_{p,N}=\min\left\{
Chabrowski, J., Willem, M.
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Monge–Ampère equation on exterior domains [PDF]
Calculus of Variations and Partial Differential Equations, 2013 26 ...
Bao, Jiguang, Li, Haigang, Zhang, Lei
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The L ∞-Stokes semigroup in exterior domains [PDF]
Journal of Evolution Equations, 2013 The Stokes semigroup on a bounded domain is an analytic semigroup on spaces of bounded functions as was recently shown by the authors based on an a priori L ∞-estimate for solutions to the linear Stokes equations. In this paper, we extend our approach to exterior domains and prove that the Stokes semigroup is uniquely extendable
ABE, KEN, GIGA, YOSHIKAZU
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The Rot-Div System in Exterior Domains [PDF]
Journal of Mathematical Fluid Mechanics, 2014 Subject of the present paper is to analyze solutions to the classical elliptic system \(\operatorname{rot}v =f\), \(\operatorname{div} v=g\), in simply connected domains with bounded connected boundaries. The above problem is one of the most fundamental linear system in physics, e.g. in electromagnetism (the Maxwell equations) or fluid mechanics.
Mucha, Piotr B., Pokorný, Milan
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Mathematics, 2020 We study the asymptotic behavior of solutions with finite energy to the displacement problem of linear elastostatics in a three-dimensional exterior Lipschitz domain.
Vincenzo Coscia
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Darboux Equations in Exterior Domains [PDF]
Methods and Applications of Analysis, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Existence Solutions for a Singular Nonlinear Problem with Dirichlet Boundary Conditions on Exterior Domains [PDF]
Kirkuk Journal of ScienceThis paper proves the existence of solutions that solve the Nonlinear Partial differential equation on the exterior of the ball centered at the origin in R^{N} with radius R > 0, with boundary conditions u = 0 on the boundary, and u ( x ) approaches 0
Mageed Ali, Joseph Iaia
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