In this paper we prove a multiplicity result for a class of eigenvalue problems with nonlinear boundary conditions on an unbounded domain. Many results have been obtained by Cârstea and Rădulescu [3], Chabrowski [5], [6], Kandilakis and Lyberopoulos [10], Lisei, Varga and Horváth [13] and Pflüger [16]. MSC 2000. 35J60, 35P30, 58E05.

This paper studies the existence of positive solutions for a class of boundary value problems of elliptic degenerate equations. By using bifurcation and fixed point index theories in the frame of approximation arguments, the criteria of the existence, multiplicity and nonexistence of positive solutions are established. c © 2007 Elsevier Ltd. All rights reserved.

(K1) K ∈ C(R), K is bounded and K(x) > 0 ∀ x ∈ R. One seeks solutions uε of (NLS) that concentrate, as ε→ 0, near some point x0 ∈ R (semiclassical standing waves). By this we mean that for all x ∈ R \ {x0} one has that uε(x) → 0 as ε→ 0. When K equals a positive constant, say K(x) ≡ 1, (NLS) has been widely investigated, see [2, 3, 10, 12, 15, 16, 18] and references therein. Moreover, the exist...

this study attempts to examine the multilingualism in algeria, in other words, the phenomenon of linguistic diversity which characterizes the algerian reality and its relationship. for that matter the article visualizes the linguistic level of learners especially children, highlighting the characteristics of the multiplicity of its causes and manifestations. here, the descriptive methodology is...

explanation of the multiplicity of the world and the way it was created from the beginning of existence is one the concerns of philosophers, including mullā ṣadrā. the discourse of the emanation of multiplicity from unity would be totally different with respect to the apparent words of ṣadrā, who believes in the gradational unity of existence and according to his specific viewpoint, believing i...