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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…