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Nodal solutions of an NLS equation concentrating on lower dimensional spheres
(2015-12-26)
In this work we deal with the following nonlinear Schrödinger equation: {−<sup>ϵ2</sup>Δu+V(x)u=f(u)in <sup>RN</sup>u∈<sup>H1</sup>(<sup>RN</sup>),(Formula presented.) where N≥3, f is a subcritical power-type nonlinearity ...
On the Ambrosetti–Malchiodi–Ni conjecture for general submanifolds
(Elsevier, 2015)
We study positive solutions of the following semilinear equation
epsilon 2 Delta((g) over bar)u - V(z)u + u(p) = o on M,
where (M, (g) over bar) is a compact smooth n-dimensional Riemannian manifold without boundary ...
Bubbling solutions for supercritical problems on manifolds
(Elsevier, 2015)
Let (M, g) be an n-dimensional compact Riemannian manifold without boundary and Gamma be a non-degenerate closed geodesic of (M, g). We prove that the supercritical problem
-Delta(g)u + hu = u(n+1/n+3) (+/-) (epsilon), ...
Multipeak Solutions for the Yamabe Equation
(Springer, 2019-08)
Let (M, g) be a closed Riemannian manifold of dimension n≥ 3 and x∈ M be an isolated local minimum of the scalar curvature sg of g. For any positive integer k we prove that for ϵ> 0 small enough the subcritical Yamabe ...
Lyapunov-based low-energy low-thrust transfers to the Moon
This paper investigates the numerical computation of low-fuel low-thrust Earth-Moon transfers in a full ephemeris model incorporating the gravitational influence of the Sun, the Moon and all planets of the solar system ...
Concentration at sub-manifolds for an elliptic Dirichlet problem near high critical exponents
(John Wiley and Sons Ltd., 2019)
© 2018 London Mathematical Society Let (Formula presented.) be an open bounded domain in (Formula presented.) with smooth boundary (Formula presented.). We consider the equation (Formula presented.), under zero Dirichlet ...