5 problems

Let $a\in\mathcal{C}([0,L])$ satisfy the sign condition that it is positive on $n$ separated intervals $I_i^+=(\sigma_i,\tau_i)$ and negative on the intervening intervals, together…

Let $\Omega$ be a smooth bounded domain in $\mathbb R^N$, let $1<p<\infty$, let $p'$ be the conjugate exponent to $p$, and let $K\subset\partial\Omega$ be compact. A compact set…

Let $\varphi$ and $f$ be admissible functions in the boundary value problem, and let $g$ be the corresponding function. A function $g$ is of Type $\delta_3$ according to the classi…

Let $\varphi_3$ be the function used in the paper, let $u$ be the independent variable, and let $g$ be the function associated with a pair $(\varphi,f)$. A pair is of Type IV-…

Assume the hypotheses of the result preceding Remark 7.2, including (A7), but remove assumption (A4). Multiplicity conjecture. The result is also valid without assumption (A4). Thi…