Zobrazeno 1 - 10
of 3 308
pro vyhledávání: '"Molica, A."'
We study the local regularity properties of $(s,p)$-harmonic functions, i.e. local weak solutions to the fractional $p$-Laplace equation of order $s\in (0,1)$ in the case $p\in (1,2]$. It is shown that $(s,p)$-harmonic functions are weakly differenti
Externí odkaz:
http://arxiv.org/abs/2409.02012
For $N\ge 3$ we study the following semipositone problem $$ -\Delta_\gamma u = g(z) f_a(u) \quad \hbox{in $\mathbb{R}^N$}, $$ where $\Delta_\gamma$ is the Grushin operator $$ \Delta_ \gamma u(z) = \Delta_x u(z) + \vert x \vert^{2\gamma} \Delta_y u (z
Externí odkaz:
http://arxiv.org/abs/2407.10742
Higher Sobolev and H\"older regularity is studied for local weak solutions of the fractional $p$-Laplace equation of order $s$ in the case $p\ge 2$. Depending on the regime considered, i.e. $$0
Externí odkaz:
http://arxiv.org/abs/2406.01568
We consider the boundary value problem $$ \cases{ -\Delta_\gamma u = \lambda u + \left\vert u \right\vert^{2^*_\gamma-2}u &in $\Omega$\cr u = 0 &on $\partial\Omega$,\cr } $$ where $\Omega$ is an open bounded domain in $\mathbb{R}^N$, $N \geq 3$, whil
Externí odkaz:
http://arxiv.org/abs/2402.17476
The aim of this paper is investigating the existence and multiplicity of weak solutions to non--local equations involving the {\em magnetic fractional Laplacian}, when the nonlinearity is subcritical and asymptotically linear at infinity. We prove ex
Externí odkaz:
http://arxiv.org/abs/2312.04473
Publikováno v:
Current Oncology, Vol 31, Iss 10, Pp 6050-6060 (2024)
High-risk acute myeloid leukemia has been associated with a poor outcome. Hematopoietic stem cell transplantation (HSCT) represents the only curative option for eligible patients. Relapse after HSCT is a dramatic event with poor chances of survival.
Externí odkaz:
https://doaj.org/article/7d2a0582d8b74d75be61630a44c107e4
Publikováno v:
Advances in Nonlinear Analysis, Vol 13, Iss 1, Pp 205-246 (2024)
Our purpose is to establish nonexistence results concerning complete noncompact mean curvature flow solitons with polynomial volume growth immersed in certain semi-Riemannian warped products, under mild constraints on the warping and soliton function
Externí odkaz:
https://doaj.org/article/e60b4b5dc7b84d0292fc0cae77ac17a3
In this paper we study a nonlocal critical growth elliptic problem driven by the fractional Laplacian in presence of jumping nonlinearities. In the main results of the paper we prove the existence of a nontrivial solution for the problem under consid
Externí odkaz:
http://arxiv.org/abs/2308.11993
In this paper we prove a version of the Fountain Theorem for a class of nonsmooth functionals that are sum of a $C^1$ functional and a convex lower semicontinuous functional, and also a version of a theorem due to Heinz for this class of functionals.
Externí odkaz:
http://arxiv.org/abs/2306.09051
Publikováno v:
Discrete Contin. Dyn. Syst. Ser. S 16:6 (2023), 1401-1413
In this paper, a class of nonlocal fractional Dirichlet problems is studied. By using a variational principle due to Ricceri (whose original version was given in J. Comput. Appl. Math. 113 (2000), 401-410), the existence of infinitely many weak solut
Externí odkaz:
http://arxiv.org/abs/2305.09609