Normalized solutions of nonlinear Schrödinger equations

Thomas Bartsch, Sébastien de Valeriola

We consider the problem -Δu - g(u) = λu, u \in H^1(\R^N), \int_{\R^N} u^2 = 1, λ\in\R, in dimension $N\ge 2$. Here $g$ is a superlinear, subcritical, possibly nonhomogeneous, odd no…