2 problems

Let $N\geq 3$, let $Q$ be the coefficient in the nonlinear Helmholtz equation, and let $p>\frac{2N}{N-1}$. No sign condition is imposed on $Q$. Nonradial-solution conjecture. There…

Let $\alpha$ be the exponent in the Hénon equation considered in the paper, and let the nonradial solutions of Theorem 1.1 be the solutions obtained by bifurcation from the radial…