Convex functionals and partial regularity
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Publication:1111154
DOI10.1007/BF00281349zbMath0658.49005MaRDI QIDQ1111154
Mariano Giaquinta, Gabriele Anzellotti
Publication date: 1988
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
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Related Items (36)
On the interior regularity of weak solutions of degenerate elliptic systems (the case \(1<p<2\)) ⋮ Partial regularity for certain classes of polyconvex functionals related to nonlinear elasticity ⋮ On time flows of minimizers of general convex functionals of linear growth with variable exponent in BV space and stability of pseudosolutions ⋮ Partial regularity for \(\omega\)-minimizers of quasiconvex functionals ⋮ Signal recovery via TV-type energies ⋮ Partial regularity for evolution problems with discontinuity ⋮ A coupled variational problem of linear growth related to the denoising and inpainting of images ⋮ Unnamed Item ⋮ Total variation time flow with quantile regression for image restoration ⋮ Lower semicontinuity in \(L^1\) of a class of functionals defined on \(BV\) with Carathéodory integrands ⋮ Variational integrals on Orlicz-Sobolev spaces ⋮ The regularity of minima for the Dirichlet problem on BD ⋮ Symmetric-convex functionals of linear growth ⋮ On the solvability in Sobolev spaces and related regularity results for a variant of the TV-image recovery model: the vector-valued case ⋮ Partial regularity for mass-minimizing currents in Hilbert spaces ⋮ Existence of generalized minimizers and dual solutions for a class of variational problems with linear growth related to image recovery ⋮ An excess-decay result for a class of degenerate elliptic equations ⋮ Generalized solutions for a class of non-uniformaly elliptic equations in divergence form ⋮ Partial regularity for symmetric quasiconvex functionals on BD ⋮ Obstacle Problems with Linear Growth: Hölder Regularity for the Dual Solution ⋮ Partial regularity for BV minimizers ⋮ A partial regularity result for an anisotropic smoothing functional for image restoration in BV space ⋮ Denoising and inpainting of images using TV-type energies: theoretical and computational aspects ⋮ On functionals with convex Carathéodory integrands with a linear growth condition ⋮ A higher order TV-type variational problem related to the denoising and inpainting of images ⋮ Differentiability properties of weak solutions of certain variational problems in the theory of perfect elastoplastic plates ⋮ Existence and regularity for stationary incompressible flows with dissipative potentials of linear growth ⋮ Partial regularity results for asymptotic quasiconvex functionals with general growth ⋮ A note on degenerate variational problems with linear growth ⋮ On a Neumann problem for variational functionals of linear growth ⋮ Lower semicontinuity and \(\varGamma \)-convergence of a class of linear growth functionals ⋮ Interior gradient regularity for \(\mathrm{BV}\) minimizers of singular variational problems ⋮ Interior integral estimates on weak solutions of certain degenerate elliptic systems ⋮ On Carathéodory Quasilinear Functionals for BV Functions and Their Time Flows for a Dual $$ H^{1}$$ Penalty Model for Image Restoration ⋮ On a general class of elliptic equations in divergence form ⋮ On some perturbations of the total variation image inpainting method. II: Relaxation and dual variational formulation
Cites Work
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- Existence and regularity almost everywhere of solutions to elliptic variational problems among surfaces of varying topological type and singularity structure
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