Density Estimates for a Nonlocal Variational Model via the Sobolev Inequality
From MaRDI portal
Publication:3116298
DOI10.1137/110831040zbMath1233.35201arXiv1103.6205OpenAlexW2963140647MaRDI QIDQ3116298
Ovidiu V. Savin, Enrico Valdinoci
Publication date: 22 February 2012
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.6205
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Minimal surfaces and optimization (49Q05) Fractional partial differential equations (35R11)
Related Items
Boundary feedback stabilization of the monodomain equations, Convergence of level sets in fractional Laplacian regularization, Planelike minimizers of nonlocal Ginzburg–Landau energies and fractional perimeters in periodic media, Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications, Local behavior of fractional \(p\)-minimizers, A quantitative stability inequality for fractional capacities, Local and global minimizers for a variational energy involving a fractional norm, Density estimates for a variational model driven by the Gagliardo norm, Nonlocal Harnack inequalities, Uniform density estimates and \(\Gamma \)-convergence for the Alt-Phillips functional of negative powers, A fractional Michael-Simon Sobolev inequality on convex hypersurfaces, A fractional framework for perimeters and phase transitions, The Dirichlet problem for the fractional Laplacian: regularity up to the boundary, Hitchhiker's guide to the fractional Sobolev spaces, Asymptotics for the fractional Allen-Cahn equation and stationary nonlocal minimal surfaces, A weighted gradient theory of phase transitions with a possibly singular and degenerate spatial inhomogeneity, Minimization of a fractional perimeter-Dirichlet integral functional, A non-local coupling model involving three fractional Laplacians, Comparison and regularity results for the fractional Laplacian via symmetrization methods, Remarks on a nonlinear nonlocal operator in Orlicz spaces, Variational solutions to nonlocal problems, Sharp embedding of Sobolev spaces involving general kernels and its application, Density estimates for vector minimizers and applications
