π-Laplacian in βΒΉ_{}πβ΄πΈ does not lead to regularity
π-Laplacian in βΒΉ_{}πβ΄πΈ does not lead to regularity
It is well known that in two space dimensions, if a solution to Poissonβs equation has right-hand side in <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="script upper H Subscript loc Superscript 1"> <mml:semantics> <mml:msubsup> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi class="MJX-tex-caligraphic" mathvariant="script">H</mml:mi> </mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mtext>loc</mml:mtext> </mml:mrow> </mml:mrow> <mml:mn>1</mml:mn> </mml:msubsup> <mml:annotation encoding="application/x-tex">\mathcal {H}_{{\text β¦