15 citations · 23 across the 4 of their papers we have counts for
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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…
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…
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) +\…
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…
Existence and multiplicity results for a class of coupled quasilinear elliptic systems of gradient type
Anna Maria Candela, Addolorata Salvatore, Caterina Sportelli
The aim of this paper is investigating the existence of one or more weak solutions of the coupled quasilinear elliptic system of gradient type \[ (P)\qquad \left\{ \begin{array}{ll…