10 papers
Borderline double phase functionals with powers of the logarithm: regularity in the vectorial case
Youlin Choi, Jehan Oh
We study vector-valued local minimizers of the borderline double phase functional whose integrand is , where , $γ>0…
Absence of the Lavrentiev phenomenon for a general class of parabolic double phase problems
Youngchae Kim, Jehan Oh
In this paper, we prove the absence of the Lavrentiev phenomenon for a general class of parabolic double phase functionals with Orlicz growth. The energy density is given by $$ G(|…
Gradient estimates for generalized double phase problems with two modulating coefficients
Jehan Oh, Ambesh Kumar Pandey
We prove local Calderón-Zygmund estimates for distributional solutions to non-uniformly elliptic equations in divergence form modeled on the energy density ,…
Local boundedness for solutions to parabolic double phase problems
Bogi Kim, Jehan Oh
In this paper, we investigate the local boundedness of weak solutions to parabolic double phase equations of type $$u_t-\mathrm{div}(|Du|^{p-2}Du+a(x,t)|Du|^{q-2}Du)=0\quad\text{in…
Optimal regularity up to the boundary for fully nonlinear elliptic equations with double phase degeneracy
Junior da Silva Bessa, Jehan Oh
In this paper we establish optimal regularity up to the boundary for viscosity solutions of fully nonlinear elliptic equations with double phase degeneracy law and obliqu…
Absence of the Lavrentiev phenomenon for degenerate parabolic double phase problems
Bogi Kim, Youngchae Kim, Jehan Oh
We establish the absence of the Lavrentiev phenomenon for degenerate parabolic double phase problems. Any finite-energy function in the natural parabolic class admits smooth approx…
Interpolative Refinement of Gap Bound Conditions for Singular Parabolic Double Phase Problems
Bogi Kim, Jehan Oh
We consider inhomogeneous singular parabolic double phase equations of type $$ u_t-\operatorname{div}(|Du|^{p-2}Du + a(x,t)|Du|^{q-2}Du)=-\operatorname{div} (|F|^{p-2}F + a(x,t)|F|…
Bounded solutions and interpolative gap bounds for degenerate parabolic double phase problems
Bogi Kim, Jehan Oh
We establish gradient higher integrability results for weak solutions to degenerate parabolic equations of double phase type $$ u_t-\operatorname{div} \left(|Du|^{p-2}Du + a(x,t)|D…
Gradient higher integrability for degenerate parabolic double phase systems with two modulating coefficients
Jehan Oh, Abhrojyoti Sen
We establish an interior gradient higher integrability result for weak solutions to degenerate parabolic double phase systems involving two modulating coefficients. To be more prec…
Parabolic Lipschitz truncation for multi-phase problems: the degenerate case
Bogi Kim, Jehan Oh, Abhrojyoti Sen
This article is devoted to exploring the Lipschitz truncation method for parabolic multi-phase problems. The method is based on Whitney decomposition and covering lemmas with a del…