4 problems

Iterative existence conjecture. The iterative scheme of section 7 may provide the basis for a mathematical proof of the existence of MHD equilibria with a non-vanishing pressure gr…

Existence conjecture. The derived results may provide a starting point for a mathematical proof of the existence of nontrivial MHD equilibria in toroidal domains without Euclidean…

Consider a semilinear elliptic equation with a pure power nonlinearity of exponent $p>1$ on a domain $D$, and suppose solutions are studied through probabilistic representations in…

Existence conjecture. In the case $m=1$, $A_c\neq\varnothing$ for every $c\in(0,\infty)$ when $\alpha\in({2_*},{2^*})$, and for every $c\in(0,2\pi\widehat M(Q))$ when…