We prove C 1,ν -regularity for local minimizers of the multi-phase energy: w↦∫Ω|Dw| p +a(x)|Dw| q +b(x)|Dw| s dx, under sharp assumptions relating the couples (p,q) and (p,s) to the Hölder exponents of the modulating coefficients a(⋅) and b(⋅), respectively
We prove sharp regularity results for a general class of functionals of the type wâ¦â«F(x,w,Dw)dx,fe...
The repulsion strength at the origin for repulsive/attractive potentials determines the regularity o...
We study a class of variational problems involving both bulk and interface energies. The bulk energy...
We prove C1,ν -regularity for local minimizers of the multi-phase energy: w →ˆ|Dw| p + a(x)|Dw| q + ...
We prove sharp regularity theorems for minimisers of a class of variational integrals whose integran...
The functionals of double phase type H(u):= Z ∫ (|Du|p + a(x) |Du|q) dx, (q > p > 1, a(x) ≥ 0)...
Abstract. We study the partial regularity of minimizers for certain singular functionals in the calc...
We prove the periodicity of all H2-local minimizers with low energy for a one-dimensional higher ord...
Abstract Regularity properties for (local) minimizers of elastic energies have been challenging math...
We consider strictly convex energy densities f:\mathbb{R}^{n}\rightarrow\mathbb{R} under...
Regularity results for equilibrium configurations of variational problems involving both bulk and ...
We prove a regularity theorem for the free boundary of minimizers of the two-phase Bernoulli problem...
Abstract. We prove a partial regularity result for local minimizers u: Rn ⊃ Ω → RM of the variationa...
We consider variational integrals whose energy densities are represented by N-functions h of at leas...
Many physical systems are modeled mathematically as variational problems, where the observed configu...
We prove sharp regularity results for a general class of functionals of the type wâ¦â«F(x,w,Dw)dx,fe...
The repulsion strength at the origin for repulsive/attractive potentials determines the regularity o...
We study a class of variational problems involving both bulk and interface energies. The bulk energy...
We prove C1,ν -regularity for local minimizers of the multi-phase energy: w →ˆ|Dw| p + a(x)|Dw| q + ...
We prove sharp regularity theorems for minimisers of a class of variational integrals whose integran...
The functionals of double phase type H(u):= Z ∫ (|Du|p + a(x) |Du|q) dx, (q > p > 1, a(x) ≥ 0)...
Abstract. We study the partial regularity of minimizers for certain singular functionals in the calc...
We prove the periodicity of all H2-local minimizers with low energy for a one-dimensional higher ord...
Abstract Regularity properties for (local) minimizers of elastic energies have been challenging math...
We consider strictly convex energy densities f:\mathbb{R}^{n}\rightarrow\mathbb{R} under...
Regularity results for equilibrium configurations of variational problems involving both bulk and ...
We prove a regularity theorem for the free boundary of minimizers of the two-phase Bernoulli problem...
Abstract. We prove a partial regularity result for local minimizers u: Rn ⊃ Ω → RM of the variationa...
We consider variational integrals whose energy densities are represented by N-functions h of at leas...
Many physical systems are modeled mathematically as variational problems, where the observed configu...
We prove sharp regularity results for a general class of functionals of the type wâ¦â«F(x,w,Dw)dx,fe...
The repulsion strength at the origin for repulsive/attractive potentials determines the regularity o...
We study a class of variational problems involving both bulk and interface energies. The bulk energy...