Existence of entire solutions for some elliptic systems
- 1 December 1994
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 50 (3), 501-519
- https://doi.org/10.1017/s0004972700013605
Abstract
We establish the existence of solutions for the elliptic systems on ℝN: such that u, v ∈ W1, 2(ℝN), where with q(x)→∞ as |x| → ∞ and (x, u, v) being superlinear or sublinear as .Keywords
This publication has 3 references indexed in Scilit:
- Bifurcation for strongly indefinite functionals and a Liapunov type theorem for Hamiltonian systemsDifferential and Integral Equations, 1994
- Critical point theorems for indefinite functionalsInventiones Mathematicae, 1979
- Topological Methods in the Theory of Nonlinear Integral Equations.The American Mathematical Monthly, 1968