3 problems

For $p>2$, consider the exponent $m$ arising in the measure-data problem for the $p$-Laplace equation; in the paper's notation, $m$ is obtained by multiplying the corresponding exp…

Singular-measure existence conjecture. The same existence results should continue to hold when $\nu$ is singular with respect to $\mathcal{L}$.

Consider the nonlinear parabolic problem and its renormalized-solution formulation above, with the structural assumption that $b'(s)\geq b_0>0$. Conjecture on removing the positivi…