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20032025
most citedBounded solutions for quasilinear modified Schrödinger equations

15 citations · 49 across the 11 of their papers we have counts for

collaborators

11 papers

math.AP2025

A dichotomy result for a modified Schrödinger equations on unbounded domains

Anna Maria Candela, Giuliana Palmieri, Addolorata Salvatore

This article aims to investigate the existence of bounded positive solutions of problem \[ (P)\qquad \left\{ \begin{array}{ll} - {\rm div} (a(x,u,\nabla u)) + A_t(x,u,\nabla u) = g…

math.AP2024

Existence results for a borderline case of a class of p-Laplacian problems

Anna Maria Candela, Kanishka Perera, Addolorata Salvatore

The aim of this paper is investigating the existence of at least one nontrivial bounded solution of the new asymptotically ``linear'' problem \[ \left\{ \begin{array}{ll} - {\rm di…

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…

math.AP2023

On existence and multiplicity of solutions for generalized (p, q)-Laplacian equations on unbounded domains

Addolorata Salvatore, Caterina Sportelli

This paper deals with the existence and multiplicity of solutions for the generalized -Laplacian equation \begin{align*} &-{\text{ div}}(A(x, u)|\nabla u|^{p-2}\nabla u) +\…

math.AP2022★ 15 cited

Bounded solutions for quasilinear modified Schrödinger equations

Anna Maria Candela, Addolorata Salvatore, Caterina Sportelli

In this paper we establish a new existence result for the quasilinear elliptic problem \[ -{\rm div}(A(x,u)|\nabla u|^{p-2}\nabla u) +\frac1p A_t(x,u)|\nabla u|^p + V(x)|u|^{p-2} u…