2 papers
math.AP2024
Multiple solutions for quasilinear elliptic problems with concave and convex nonlinearities
Federica Mennuni, Addolorata Salvatore
We prove the existence of multiple signed bounded solutions for a quasilinear elliptic equation with concave and convex nonlinearities. For this, we use a variational approach in a…
math.AP2023
Radial bounded solutions for modified Schrödinger equations
Federica Mennuni, Addolorata Salvatore
We study the quasilinear equation $(P)\qquad - {\rm div} (a(x,u,\nabla u)) +A_t(x,u,\nabla u) + |u|^{p-2}u\ =\ g(x,u) \qquad \hbox{in $\R^N$,} $ with and . Here, we…