Existence of a Solution of a One-Dimensional Stationary Elliptic System by the Generalized Saddle Point Theorem

Authors

  • Rubén Marcos Rojas Vargas University of Atacama image/svg+xml , Universidad de Atacama
  • Hans Nina University of Antofagasta , University of Antofagasta image/svg+xml

Keywords:

Condición de Compacidad de Palais-Smale, Estructura Variacional, Teorema del Punto Silla Generalizado

Abstract

In this work, the existence of nontrivial solutions for a sublinear elliptic system is established. The result is obtained through the analysis of the variational structure of the system, where solving the system of equations is reformulated as the search for critical points of a functional. This approach allows the application of Rabinowitz’s generalized saddle point theorem.

References

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Published

2026-07-28

Issue

Vol. 24 No. 2 (2026): Volumen 2026

Section

Articulos

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