3 citations · 5 across the 3 of their papers we have counts for
3 papers
Absence and presence of Lavrentiev's phenomenon for double phase functionals upon every choice of exponents
Michał Borowski, Iwona Chlebicka, Filomena De Filippis +1
We study classes of weights ensuring the absence and presence of the Lavrentiev's phenomenon for double phase functionals upon every choice of exponents. We introduce a new sharp s…
Absence of Lavrentiev's gap for anisotropic functionals
Michał Borowski, Iwona Chlebicka, Błażej Miasojedow
We establish the absence of the Lavrentiev gap between Sobolev and smooth maps for a non-autonomous variational problem of a general structure, where the integrand is assumed to be…
Controlling monotonicity of nonlinear operators
Michał Borowski, Iwona Chlebicka
Controlling the monotonicity and growth of Leray--Lions' operators including the -Laplacian plays a fundamental role in the theory of existence and regularity of solutions to se…