scholarly journals Infinitely many solutions for asymptotically linear periodic Hamiltonian elliptic systems

2008 ◽  
Vol 16 (1) ◽  
pp. 77-91 ◽  
Author(s):  
Fukun Zhao ◽  
Leiga Zhao ◽  
Yanheng Ding
Keyword(s):  
Elliptic Systems ◽  
Infinitely Many Solutions ◽  
Asymptotically Linear

scholarly journals ASYMPTOTICALLY LINEAR ELLIPTIC SYSTEMS WITH PARAMETERS

2010 ◽  
Vol 52 (2) ◽  
pp. 383-389 ◽  
Author(s):  
CHAOQUAN PENG
Keyword(s):  
Bounded Domain ◽  
Trivial Solution ◽  
Elliptic Systems ◽  
Continuous Functions ◽  
Asymptotically Linear ◽  
Smooth Bounded Domain ◽  
Negative Numbers ◽  
Solution Pair ◽  
Image Position

AbstractIn this paper, we show that the semi-linear elliptic systems of the form (0.1) possess at least one non-trivial solution pair (u, v) ∈ H01(Ω) × H01(Ω), where Ω is a smooth bounded domain in ℝN, λ and μ are non-negative numbers, f(x, t) and g(x, t) are continuous functions on Ω × ℝ and asymptotically linear at infinity.

scholarly journals Infinitely Many Solutions of the Neumann Problem for Elliptic systems in Anisotropic Variable Exponent Sobolev Spaces

2017 ◽  
Vol 3 (1) ◽  
pp. 70-82
Author(s):  
A. Ahmed ◽  
M.S.B. Elemine Vall ◽  
A. Touzani
Keyword(s):  
Variational Principle ◽  
Critical Point ◽  
Neumann Problem ◽  
Sobolev Spaces ◽  
Variable Exponent ◽  
Elliptic Systems ◽  
Subject Classification ◽  
Infinitely Many Solutions ◽  
Variable Exponent Sobolev Spaces ◽  
The Neumann Problem

Abstract In this paper, we prove the existence of in finitely many solutions for the following system by applying a critical point variational principle obtained by Ricceri as a consequence of a more general variational principle and the theory of the anisotropic variable exponent Sobolev spaces 2010 Mathematics Subject Classification. 35K05 - 35K55.

Sign in / Sign up

Export Citation Format

Share Document