On Existence and Concentration of Solutions for a Class of Hamiltonian Systems in ℝN
- 1 May 2003
- journal article
- research article
- Published by Walter de Gruyter GmbH in Advanced Nonlinear Studies
- Vol. 3 (2) , 161-180
- https://doi.org/10.1515/ans-2003-0201
Abstract
In this paper we are concerned with the existence of solutions for the Hamiltonian system where N ≥ 3, Q, K : ℝN → ℝ are bounded positive continuous functions and the numbers p, q > 1 satisfy Using dual variational methods we show that under certain conditions on Q and K the system (S∊) has a positive solution which concentrates as ∊ → 0 in a point xo ∈ ℝN where related functionals realize its minimum energy.Keywords
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