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Currently displaying 1 – 6 of 6

Order by Relevance | Title | Year of publication

One-dimensional elliptic equation with concave and convex nonlinearities.

Sánchez, Justino; Ubilla, Pedro — 2000

Electronic Journal of Differential Equations (EJDE) [electronic only]

Nonlinear systems of second-order ODEs.

Cerda, Patricio; Ubilla, Pedro — 2008

Boundary Value Problems [electronic only]

A multiplicity result for a class of superquadratic Hamiltonian systems.

Marcos do Ó, João; Ubilla, Pedro — 2003

Electronic Journal of Differential Equations (EJDE) [electronic only]

Superlinear equations involving nonlinearities limited by asymptotically homogeneous functions.

Lorca, Sebastián; Souto, Marco Aurelio; Ubilla, Pedro — 2007

Journal of Inequalities and Applications [electronic only]

Existence of positive solutions for some Dirichlet problems with an asymptotically homogeneous operator.

Garcia-Huidobro, Marta; Manasevich, Raul; Ubilla, Pedro — 1995

Electronic Journal of Differential Equations (EJDE) [electronic only]

Multiplicity results for a family of semilinear elliptic problems under local superlinearity and sublinearity

Djairo Guedes de Figueiredo; Jean-Pierre Gossez; Pedro Ubilla — 2006

Journal of the European Mathematical Society

We study the existence, nonexistence and multiplicity of positive solutions for the family of problems $- Δ u = f_{λ} (x, u)$ , $u \in H_{0}^{1} (Ω)$ , where $Ω$ is a bounded domain in $ℝ^{N}$ , $N \geq 3$ and $λ > 0$ is a parameter. The results include the well-known nonlinearities of the Ambrosetti–Brezis–Cerami type in a more general form, namely $λ a (x) u^{q} + b (x) u^{p}$ , where $0 \leq q < 1 < p \leq 2^{*} - 1$ . The coefficient $a (x)$ is assumed to be nonnegative but $b (x)$ is allowed to change sign, even in the critical case. The notions of local superlinearity and local sublinearity introduced in [9] are essential in this...

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