Decay Estimates of Gradient of a Generalized Oseen Evolution Operator Arising from Time-Dependent Rigid Motions in Exterior Domains
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DOI: 10.1007/s00205-020-01541-3
Abstract: Let us consider the motion of a viscous incompressible fluid past a rotating rigid body in three dimensions, where the translational and angular velocities of the body are prescribed but time-dependent. In a reference frame… read more here.
Keywords: evolution; time; decay estimates; exterior domains ... See more keywords
S-shaped bifurcation diagrams in exterior domains
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DOI: 10.1007/s11117-019-00654-8
Abstract: We study a nonlinear eigenvalue problem on the exterior to a simply connected bounded domain in $$\mathbb {R}^N$$RN containing the origin. We consider positive weak solutions satisfying Dirichlet boundary conditions on the compact boundary and… read more here.
Keywords: bifurcation diagrams; diagrams exterior; exterior domains; shaped bifurcation ... See more keywords
Symmetry results for viscosity solutions of fully nonlinear equations in annular and exterior domains
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DOI: 10.1016/j.jmaa.2019.123776
Abstract: Abstract In this paper, we prove the symmetry and monotonicity results of viscosity solutions for fully nonlinear elliptic equations F ( D 2 u , D u , u , x ) = 0 and… read more here.
Keywords: fully nonlinear; exterior domains; solutions fully; equations annular ... See more keywords
Coupled elliptic systems depending on the gradient with nonlocal BCs in exterior domains
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DOI: 10.1186/s13661-020-01384-7
Abstract: We study the existence and multiplicity of positive radial solutions for a coupled elliptic system in exterior domains where the nonlinearities depend on the gradients and the boundary conditions are nonlocal. We use a new… read more here.
Keywords: gradient nonlocal; exterior domains; depending gradient; elliptic systems ... See more keywords
Asymptotic behavior of solutions of fully nonlinear equations over exterior domains
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DOI: 10.5802/crmath.138
Abstract: In this paper, we consider the asymptotic behavior at infinity of solutions of a class of fully nonlinear elliptic equations F (D2u) = f (x) over exterior domains, where the Hessian matrix (D2u) tends to… read more here.
Keywords: fully nonlinear; solutions fully; infinity; exterior domains ... See more keywords