Journal•ISSN: 0022-1236
Journal of Functional Analysis
Elsevier BV
About: Journal of Functional Analysis is an academic journal published by Elsevier BV. The journal publishes majorly in the area(s): Bounded function & Banach space. It has an ISSN identifier of 0022-1236. Over the lifetime, 8812 publications have been published receiving 324827 citations. The journal is also known as: Functional analysis.
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TL;DR: In this paper, general existence theorems for critical points of a continuously differentiable functional I on a real Banach space are given for the case in which I is even.
4,081 citations
TL;DR: In this article, a general version of the main problem of bifurcation theory, given p ϵ C, determine the structure of G−1{0} in some neighborhood of p.
1,817 citations
TL;DR: In this paper, the structure of the solution set for a large class of nonlinear eigenvalue problems in a Banach space is investigated, and the existence of continua, i.e., closed connected sets, of solutions of these equations is demonstrated.
1,749 citations
TL;DR: In this article, the effect of group invariance on the stability of solitary waves was studied and applications were given to bound states and traveling wave solutions of nonlinear wave equations, where the authors considered an abstract Hamiltonian system which is invariant under a group of operators.
1,557 citations
TL;DR: In this paper, it was shown that transport inequalities, similar to the one derived by M. Talagrand (1996, Geom. Funct. Anal. 6, 587-600) for the Gaussian measure, are implied by logarithmic Sobolev inequalities.
1,080 citations