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math.AP2023
Infinitely many periodic solutions to a Lorentz force equation with singular electromagnetic potential
Alberto Boscaggin, Walter Dambrosio, Duccio Papini
We consider the Lorentz force equation $$ \frac{d}{dt}\left(\frac{m\dot{x}}{\sqrt{1-|\dot{x}|^{2}/c^{2}}}\right) = q \left(E(t,x) + \dot x \times B(t,x)\right), \qquad x \in \mathb…
math.AP2016★ 11 cited
Multiple positive solutions to elliptic boundary blow-up problems
Alberto Boscaggin, Walter Dambrosio, Duccio Papini
We prove the existence of multiple positive radial solutions to the sign-indefinite elliptic boundary blow-up problem \[ \left\{\begin{array}{ll} Δu + \bigl(a^+(\vert x \vert) - μa…