0000000000415850
AUTHOR
G. Bonanno
Existence and multiplicity of solutions for non linear elliptic Dirichlet systems
The existence and multiplicity of solutions for systems of nonlinear elliptic equations with Dirichlet boundary conditions is investigated. Under suitable assumptions on the potential of the nonlinearity, the existence of one, or two, or three solutions is established. Our approach is based on variational methods.
Three solutions for a quasilinear two point boundary value problem involving the one-dimensional p-Laplacian
In this paper we prove the existence of at least three classical solutions for the problem \begin{equation*} \left\{ \begin{array}{l} - \left( |u'|^{p-2} u' \right)' = \lambda f(t,u) h(u') \\ u(a)=u(b)=0, \end{array} \right. \end{equation*} \noindent when $\lambda$ lies in an explicitly determined open interval. Our main tool is a very recent three critical points theorem stated in D.Averna, G.Bonanno, {\em A three critical point theorem and its applications to the ordinary Dirichlet problem}, Topol. Methods Nonlinear Anal., 22 (2003), p.93-104.
Sensitivity of the Cherenkov Telescope Array to a dark matter signal from the Galactic centre
Full list of authors: Acharyya, A.; Adam, R.; Adams, C.; Agudo, I.; Aguirre-Santaella, A.; Alfaro, R.; Alfaro, J.; Alispach, C.; Aloisio, R.; Alves Batista, R.; Amati, L.; Ambrosi, G.; Angüner, E. O.; Antonelli, L. A.; Aramo, C.; Araudo, A.; Armstrong, T.; Arqueros, F.; Asano, K.; Ascasíbar, Y. Ashley, M.; Balazs, C.; Ballester, O.; Baquero Larriva, A.; Barbosa Martins, V.; Barkov, M.; Barres de Almeida, U.; Barrio, J. A.; Bastieri, D.; Becerra, J.; Beck, G.; Becker Tjus, J.; Benbow, W.; Benito, M.; Berge, D.; Bernardini, E.; Bernlöhr, K.; Berti, A.; Bertucci, B.; Beshley, V.; Biasuzzi, B.; Biland, A.; Bissaldi, E.; Biteau, J.; Blanch, O.; Blazek, J.; Bocchino, F.; Boisson, C.; Bonneau Arbe…
Existence of two positive solutions for anisotropic nonlinear elliptic equations
This paper deals with the existence of nontrivial solutions for a class of nonlinear elliptic equations driven by an anisotropic Laplacian operator. In particular, the existence of two nontrivial solutions is obtained, adapting a two critical point results to a suitable functional framework that involves the anisotropic Sobolev spaces.
Endoscopic ultrasonography in gastric lymphomas: appraisal on reliability in long-term follow-up
The reliability of endoscopic ultrasonography (EUS) in follow-up management of gastric lymphomas has not been clearly validated. We conducted a retrospective analysis on 23 patients, 12 affected by mucosa-associated lymphoid tissue (MALT) lymphoma, eight by diffuse large B-cell lymphoma, and three by high-grade lymphoma with low-grade component, all treated with a stomach-conservative approach. One hundred and twenty matched evaluations with both EUS and endoscopy with biopsy (E-Bx) were performed, according to validated guidelines and clinical judgment. At a median follow-up of 87 months ranged between 9.5 and 166 months, the analysis of progression-free survival and disease-free survival …