Sign-changing radial solutions for the Schrödinger-Poisson-Slater problem
Keywords
Schrödinger-Poisson-Slater system, nodal solutions, parabolic problem, dynamical approachAbstract
We consider the Schrödinger-Poisson-Slater (SPS) system in $\mathbb R^3$ and a nonlocal SPS type equation in balls of $\mathbb R^3$ with Dirichlet boundary conditions. We show that for every $k\in\mathbb N$ each problem considered admits a nodal radially symmetric solution which changes sign exactly $k$ times in the radial variable. Moreover, when the domain is the ball of $\mathbb R^3$ we obtain the existence of radial global solutions for the associated nonlocal parabolic problem having $k+1$ nodal regions at every time.Downloads
Published
2013-04-22
How to Cite
1.
IANNI, Isabella. Sign-changing radial solutions for the Schrödinger-Poisson-Slater problem. Topological Methods in Nonlinear Analysis. Online. 22 April 2013. Vol. 41, no. 2, pp. 365 - 385. [Accessed 18 April 2024].
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