7 papers
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…
Local boundedness for solutions to degenerate parabolic double phase problems
Bogi Kim, Jehan Oh
In this paper, we investigate the local boundedness of weak solutions to degenerate parabolic double phase equation of type $$ u_t-\textrm{div}(|Du|^{p-2}Du+a(x,t)|Du|^{q-2}Du)=0\q…
Optimal regularity up to the boundary for fully nonlinear elliptic equations with double phase degeneracy
Junior da Silva Bessa, Jehan Oh
In this paper we establish optimal regularity up to the boundary for viscosity solutions of fully nonlinear elliptic equations with double phase degeneracy law and obliq…
Interpolative Refinement of Gap Bound Conditions for Singular Parabolic Double Phase Problems
Bogi Kim, Jehan Oh
We consider inhomogeneous singular parabolic double phase equations of type $$ 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…
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…