Keywords: primary; 49Q20; secondary; 49J52; 49Q10; 49Q15; Least gradient problem; Weighted perimeter; Barrier condition;
مقالات ISI (ترجمه نشده)
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Keywords: 49Q10; 49N60; 35P99; 35R35; Shape optimization; Dirichlet energy; Spectral functional; Regularity;
Keywords: primary; 49Q10; 49K30; Billiards; Freeform surfaces; Geometrical optics; Imaging;
Keywords: 49Q10; 49Q20; Isoperimetric inequality; Isoperimetric regions; Riemannian cylinders; Symmetrization; Density estimates; Anisotropic scaling; Stable constant mean curvature surfaces;
Keywords: 49Q10; 49Q20; 82B24; Isoperimetric problem; Shape optimization; Critical points;
Keywords: 49Q10; Torsion problem; Optimization problem; Elliptic PDE; Shape derivative;
Keywords: 58C40; 65N25; 65N30; 49Q10; 90C56; Isoperimetric eigenvalue problems; Dirichlet eigenvalue problem; Steklov eigenvalue problem; Bayesian optimization; Finite element method;
Keywords: primary; 49J10; secondary; 49Q10; 49J20; 35A15; Planar least gradient; Dirichlet and natural boundary conditions; Convex but non-strictly convex domains;
Keywords: 49Q10; 49K30; 37N05; Problems of minimal resistance; Billiards; Monge-Kantorovich problem; Optimal mass transportation; Shape optimization;
Keywords: 35J62; 35J92; 49Q10; 49Q12; Quasilinear elliptic equations; Topological asymptotic analysis; Topological derivatives; Two-norm discrepancy; Quasilinear interface problems;
Keywords: 35J60; 35J20; 35B38; 49Q10; Rearrangements; Minimization; Optimality conditions;
Keywords: 49Q10; 49Q12; 65K10; 76Nxx; 76M30Shape derivative; Variational form; Compressible Navier–Stokes equations
Keywords: 49Q10; 65N80Eigenvalues; Shape optimization; Fundamental solutions; Optimal partitions
Keywords: 49Q20; 49Q10; 49K40Isoperimetric problems; Partitioning problems; Hales' honeycomb theorem
Keywords: 49Q20; 49Q10; 90B10Optimal transport; Optimal networks; Branched transport; Irrigation; Urban planning
Keywords: 49Q10; 46N10; 46E35; 35R35; Shape derivative; Shape optimization; Convexity constraints; Nonsmooth domains;
Keywords: 58E99; 49Q10; 49J15; 62H35; 58D05Shape deformation analysis; Optimal control; Reproducing kernel Hilbert spaces; Pontryagin maximum principle; Geodesic equations
Keywords: 53A10; 49Q10; 76B45; 76D45Capillary surface; Spherical reflection; Mean curvature
Keywords: 53A10; 49Q10; 76B45; 76D45Capillary surface; Mean curvature; Stability; Reilly formula
Keywords: 49Q20; 49K10; 49Q10; 05C05; 35B65; Average-distance problem; Nonlocal variational problem; Regularity;
Keywords: 74R10; 49Q10; 35J20; 74F10Variational models; Energy minimization; Free-discontinuity problems; Crack propagation; Quasi-static evolution; Brittle fractures; Hydraulic fractures
Symmetric critical knots for O'Hara's energies
Keywords: 49Q10; 53A04; 57M25; Knot energy; Symmetric criticality; Torus knots;
A holonomy invariant anisotropic surface energy in a Riemannian manifold
Keywords: 53C40; 49Q10; Anisotropic surface energy; Anisotropic isoparametric hypersurface; Anisotropic equifocal hypersurface; Anisotropic tube;
Critical weak immersed surfaces within sub-manifolds of the Teichmüller space
Keywords: 49Q10; 53A05; 53A30; 35J35Constrained Willmore surfaces; Constrained minimal surfaces; Teichmüller space; Isothermic surfaces; Weak immersions
Willmore spheres in compact Riemannian manifolds
Keywords: 30C70; 58E15; 58E30; 49Q10; 53A30; 35R01; 35J35; 35J48; 35J50Conformal differential geometry; Weak immersions; Minimal surfaces; Optimal surfaces; Geometric PDE; Elliptic regularity theory
On some knot energies involving Menger curvature
Keywords: 49Q10; 53A04; 57M25Menger curvature; Knot energies
A semismooth Newton method for topology optimization
Keywords: 49K20; 49M05; 49M15; 49Q10; 49Q12; Topology optimization; Semismooth Newton method; Topological sensitivity; Topological derivative;
Shape optimization of stationary Navier–Stokes equation over classes of convex domains
Keywords: 49Q10; 65K10Shape optimization; Stationary Navier–Stokes equation; Convex domains
Variational method based on finite dimensional approximation in a generalized prescribed mean curvature problem
Keywords: 35J85; 49Q10; 53A10; 47J20; 47J30Prescribed mean curvature; Variational inequality; Function of bounded variation; Mountain pass theorem; Finite dimensional approximation
Shape-topology optimization for Navier–Stokes problem using variational level set method
Keywords: 49Q10; 49Q12; 35Q30; 93B40Navier–Stokes problem; Shape-topology optimization; Sensitivity analysis; Variational level set method
Discrete gradient flows for shape optimization and applications
Keywords: 49Q10; 65M60; 65K10Shape optimization; Scalar product; Gradient flow; Semi-implicit discretization; Finite elements; Surface diffusion; Image segmentation
Pointwise curvature estimates for F-stable hypersurfaces
Keywords: 53C42; 49Q10; 35J60;