Zobrazeno 1 - 10
of 164
pro vyhledávání: '"Pedro Ubilla"'
Publikováno v:
Mathematische Nachrichten. 295:44-57
Publikováno v:
Calculus of Variations and Partial Differential Equations. 62
We consider a one-dimensional integral inequality of Moser type: set $$\begin{aligned} \quad J_c(v) = \int _{0}^1 {\textrm{e}}^{c(s) v^2(s)} ds \quad \quad \hbox { and consider } \quad \quad \sup _{ \{\int _0^1 |v'|^2 = 1, v(0) = 0\}} J_c(v) \end{ali
Autor:
Marcelo C. Ferreira, Pedro Ubilla
Publikováno v:
Annales Henri Poincaré. 23:25-47
We establish the existence and multiplicity of solutions for a Kirchhoff-type problem in $$\mathbb R^4$$ involving a critical and concave–convex nonlinearity. Since in dimension four, the Sobolev critical exponent is $$2^*=4$$ , there is a tie betw
Publikováno v:
Revista Matemática Iberoamericana. 37:749-773
The aim of this paper is to prove the existence of radially symmetric k-admissible solutions for the following Dirichlet problem associated with the k-th Hessian operator: ⎧⎩⎨⎪⎪Sk[u]=f(x,−u)u2k.
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 151:187-201
We discuss the existence, nonexistence and multiplicity of solutions for a class of elliptic equations in the unit ball with zero Dirichlet boundary conditions involving nonlinearities with supercritical growth. By using Pohozaev type identity we pro
Autor:
Pedro Ubilla, Eduard Toon
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 40:5831-5843
We prove the existence of at least one positive solution for a Schrodinger equation in \begin{document}$ \mathbb{R}^N $\end{document} of type \begin{document}$ - \Delta u + V(x) u = f(x, u) \ \ \text{in} \ \mathbb{R}^N $\end{document} with a vanishin
Publikováno v:
Journal of Mathematical Analysis and Applications. 515:126419
Autor:
Joao Marcos Do O, Pedro Ubilla
Publikováno v:
Electronic Journal of Differential Equations, Vol 2003, Iss 15, Pp 1-14 (2003)
We establish the existence of two nontrivial solutions to semilinear elliptic systems with superquadratic and subcritical growth rates. For a small positive parameter $ lambda $, we consider the system $$displaylines{ -Delta v = lambda f(u) quad hbox
Externí odkaz:
https://doaj.org/article/fbc114bcf25b4846a8f40fdb7967ce1d
Publikováno v:
Journal of Differential Equations. 267:1001-1024
In this paper we use variational techniques to give existence results for the problem { S k [ u ] = f ( x , − u ) in Ω u 0 in Ω u = 0 on ∂ Ω where S k [ u ] is the k-Hessian operator and f ( x , u ) is a supercritical nonlinearity in the sense
Publikováno v:
Nonlinear Analysis: Real World Applications. 47:348-363
Using mainly variational methods and an approximation technique we obtain one homoclinic orbit for a Hamiltonian system type (P) u + V u ( t , u ) = 0 . Our approach allows us to consider new examples of nonlinearities which do not satisfy the classi