98 citations · 253 across the 9 of their papers we have counts for
10 papers
-caloric approximation and partial regularity for parabolic systems with Orlicz growth
Mikil Foss, Teresa Isernia, Chiara Leone +1
We prove a new -caloric approximation lemma compatible with an Orlicz setting. With this result, we establish a partial regularity result for parabolic systems of the…
Partial regularity result for non-autonomous elliptic systems with general growth
Teresa Isernia, Chiara Leone, Anna Verde
In this paper we prove a Hölder partial regularity result for weak solutions , , to non-autonomous elliptic systems with general growth of the type: \…
Nodal solutions for double phase Kirchhoff problems with vanishing potentials
Teresa Isernia, Dušan D. Repovš
We consider the following -Laplacian Kirchhoff type problem \begin{align*} \begin{split} &-\left(a+b\int_{\mathbb{R}^{3}}|\nabla u|^{p}\, dx \right)Δ_{p}u - \left(c+d\int_{…
Existence, multiplicity and concentration for a class of fractional Laplacian problems in
Claudianor O. Alves, Vincenzo Ambrosio, Teresa Isernia
In this work we consider the following class of fractional Laplacian problems \begin{equation*} (-Δ)_{p}^{s}u+ (-Δ)_{q}^{s}u + V(\varepsilon x) (|u|^{p-2}u + |u|^{q-2}u)= f(…
Multiplicity and concentration results for some nonlinear Schrödinger equations with the fractional -Laplacian
Vincenzo Ambrosio, Teresa Isernia
We consider a class of parametric Schrödinger equations driven by the fractional -Laplacian operator and involving continuous positive potentials and nonlinearities with subcrit…
Concentration phenomena for a fractional Schrödinger-Kirchhoff type equation
Vincenzo Ambrosio, Teresa Isernia
In this paper we deal with the multiplicity and concentration of positive solutions for the following fractional Schrödinger-Kirchhoff type equation \begin{equation*} M\left(\frac{…
Sign-changing solutions for a class of fractional Schrödinger equations with vanishing potentials
Vincenzo Ambrosio, Teresa Isernia
In this paper we consider a class of fractional Schrödinger equations with potentials vanishing at infinity. By using a minimization argument and a quantitative deformation Lemma,…
Sign-changing solutions for a class of zero mass nonlocal Schrödinger equations
Vincenzo Ambrosio, Giovany M. Figueiredo, Teresa Isernia +1
We consider the following class of fractional Schrödinger equations $$ (-Δ)^α u + V(x)u = K(x) f(u) \mbox{in} \mathbb{R}^{N} $$ where , , is the fractio…
A multiplicity result for a fractional Kirchhoff equation in with a general nonlinearity
Vincenzo Ambrosio, Teresa Isernia
In this paper we deal with the following fractional Kirchhoff equation \begin{equation*} \left(p+q(1-s) \iint_{\mathbb{R}^{2N}} \frac{|u(x)- u(y)|^{2}}{|x-y|^{N+2s}} \, dx\,dy \rig…
Partial Regularity Results for Asymptotic Quasiconvex Functionals with General Growth
Teresa Isernia, Chiara Leone, Anna Verde
We prove partial regularity for minimizers of vectorial integrals of the Calculus of Variations, with general growth condition, imposing quasiconvexity assumptions only in an asymp…