20 citations · 65 across the 11 of their papers we have counts for
11 papers
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…
Compactness and existence results for the -Laplace equation
Marino Badiale, Michela Guida, Sergio Rolando
Given and two measurable functions and , , we define the weighted spaces \[ W=\left\{ u\in D^{1,p}(\mathbb{R}^{N}):\int_…
Compactness results for the -Laplace equation
Marino Badiale, Michela Guida, Sergio Rolando
Given and two measurable functions and , , we define the weighted spaces \[ W=\left\{ u\in D^{1,p}(\mathbb{R}^N):\int_{\mathbb{R}^N}V\left(\left|x…
Compactness and existence results in weighted Sobolev spaces of radial functions. Part II: Existence
Marino Badiale, Michela Guida, Sergio Rolando
We prove existence and multiplicity results for finite energy solutions to the nonlinear elliptic equation \[ -\triangle u+V\left( \left| x\right| \right) u=g\left( \left| x\right|…
Nonlinear Schrödinger equations without compatibility conditions on the potentials
Michela Guida, Sergio Rolando
We study the existence of nonnegative solutions (and ground states) to the nonlinear Schrödinger equation in with radial potentials and super-linear or sub-linear no…
Some abstract results on the existence of bounded Palais-Smale sequences
Michela Guida, Sergio Rolando
Without compactness assumptions, we prove some abstract results which show that a functional on a Banach space admits bounded Palais-Smale s…
Compactness and existence results in weighted Sobolev spaces of radial functions, Part I: Compactness
Marino Badiale, Michela Guida, Sergio Rolando
Given two measurable functions and , , we define the weighted spaces \[ H_V^1 = \{u \in D^{1,2}(\mathbb{R}^N): \int_{\mathbb{R}^N}V(|x|)u^{2}dx < \infty…
A nonexistence result for a nonlinear elliptic equation with singular and decaying potential
Marino Badiale, Michela Guida, Sergio Rolando
The paper deals with positive radial solutions to a nonlinear elliptic equation with singular and decaying potential, for which several existence and nonexistence results are known…