Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Appolloni, Luigi"'
We study the semilinear equation $-\Delta_g u + V(\sigma) u = f(u)$ on a Cartan-Hadamard manifold ${\cal M}$ of dimension $N \geq 3$, and we prove the existence of a nontrivial solution under suitable assumptions on the potential function $V \in C({\
Externí odkaz:
http://arxiv.org/abs/2304.02298
We study the equation $-\Delta_g w+w=\lambda \alpha(\sigma) f(w)$ on a $d$-dimensional homogeneous Cartan-Hadamard Manifold $\mathcal{M}$ with $d \geq 3$. Without using the theory of topological indices, we prove the existence of infinitely many solu
Externí odkaz:
http://arxiv.org/abs/2209.08852
We consider a smooth, complete and non-compact Riemannian manifold $(\mathcal{M},g)$ of dimension $d \geq 3$, and we look for positive solutions to the semilinear elliptic equation $$ -\Delta_g w + V w = \alpha f(w) + \lambda w \quad\hbox{in $\mathca
Externí odkaz:
http://arxiv.org/abs/2203.08482
We study a nonlocal parametric problem driven by the fractional Laplacian operator combined with a Kirchhoff-type coefficient and involving a critical nonlinearity term in the sense of Sobolev embeddings. Our approach is of variational and topologica
Externí odkaz:
http://arxiv.org/abs/2104.11608
Autor:
Appolloni, Luigi
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 June 2025 546(1)
Autor:
Appolloni, Luigi, Secchi, Simone
We investigate the existence of solutions to the fractional nonlinear Schr\"{o}dinger equation $(-\Delta)^s u = f(u)$ with prescribed $L^2$-norm $\int_{\mathbb{R}^N} |u|^2 \, dx =m$ in the Sobolev space $H^s(\mathbb{R}^N)$. Under fairly general assum
Externí odkaz:
http://arxiv.org/abs/2006.00239
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 March 2023 519(2)
Autor:
Appolloni, Luigi, Secchi, Simone
Publikováno v:
In Journal of Differential Equations 15 June 2021 286:248-283
Autor:
Appolloni, Luigi1 (AUTHOR) l.appolloni1@campus.unimib.it, Fiscella, Alessio1 (AUTHOR) alessio.fiscella@umimib.it, Secchi, Simone1 (AUTHOR) simone.secchi@unimib.it
Publikováno v:
Asymptotic Analysis. 2023, Vol. 133 Issue 1/2, p159-183. 25p.
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