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A note on quasilinear Schrödinger equations with singular or vanishing radial potentials
Marino Badiale, Michela Guida, Sergio Rolando
In this note we complete a previous study, where we got existence results for the quasilinear elliptic equation \begin{equation*} -Δw+ V\left( \left| x\right| \right) w - w \left(…
Existence results for a class of quasilinear Schrödinger equations with singular or vanishing potentials
Marino Badiale, Michela Guida, Sergio Rolando
Given two continuous functions and (), which may be singular or vanishing at zero as well as at infinity, we study the quasilinea…
Radial quasilinear elliptic problems with singular or vanishing potentials
Marino Badiale, Michela Guida, Sergio Rolando
In this paper we continue the work that we began in arXiv:1912.07537. Given , two measurable functions and , and a continuous fu…
Compactness and existence results for quasilinear elliptic problems with singular or vanishing potentials
Marino Badiale, Michela Guida, Sergio Rolando
Given , , two measurable functions , and a continuous function (), we study the quasilinear elliptic equ…
Multiple nonradial solutions for a nonlinear elliptic radial problem: an improved result
Sergio Rolando
We obtain an improved version of a recent result concerning the existence of nonnegative nonradial solutions $u\in D^{1,2}(\mathbb{R}^{N})\cap L^{2}(\mathbb{R}^{N},\left| x\right|…
Radial solutions for the bilaplacian equation with vanishing or singular radial potentials
Marino Badiale, Stefano Greco, Sergio Rolando
Given three measurable functions , and , , we consider the bilaplacian equation \[ Δ^2 u+V(|x|)u=K(|x|)f(u…