In this paper, we study the problem [Formula: see text] where u, V : ℝ 3 → ℝ are radial functions, λ > 0 and 1 < p < 5. We give multiplicity results, depending on p and on the parameter λ.
Communications in Contemporary Mathematics Template
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About the Communications in Contemporary Mathematics format
Communications in Contemporary Mathematics is a peer-reviewed journal published by World Scientific, covering Nonlinear Partial Differential Equations, Advanced Mathematical Modeling in Engineering, Geometric Analysis and Curvature Flows.
| Publisher | World Scientific |
|---|---|
| Reference style | Superscript numbered (World Scientific) Superscript — small raised numerals in the text 1. Smith, A., Jones, B. & Lee, C. A representative article title. Communications in Contemporary Mathematics 12, 45–58 (2023).
Formats any DOI in the closest standard style — Communications in Contemporary Mathematics has no published style definition, so this is an approximation. No sign-up. |
| Publishes research in | Nonlinear Partial Differential Equations Advanced Mathematical Modeling in Engineering Geometric Analysis and Curvature Flows Advanced Mathematical Physics Problems Geometry and complex manifolds |
| ISSN | 0219-1997 |
| Citation impact (2-yr) | 0.84 |
| h-index | 62 |
| i10-index | 551 |
| Total citations | 22,303 |
| Top institutions publishing here | Centre National de la Recherche Scientifique |
| Journal website | www.worldscinet.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Papers published in Communications in Contemporary Mathematics per year
Citation impact of Communications in Contemporary Mathematics by publication year
Citations each year’s papers have accumulated so far — the most recent years are still building up.
Most-cited papers in Communications in Contemporary Mathematics
We investigate nonlinear Schrödinger equations like the model equation [Formula: see text] where the potential V λ has a potential well with bottom independent of the parameter λ > 0. If λ → ∞ the infimum of the essential spectrum of -Δ + V λ in L 2 (ℝ N ) converges towards ∞ and…
Let H be a real Hilbert space and Φ:H ↦ R a continuously differentiable function, whose gradient is Lipschitz continuous on bounded sets. We study the nonlinear dissipative dynamical system: [Formula: see text], plus Cauchy data, mainly in view of the unconstrained minimization of the function Φ. New results concerning the convergence of a solution…
The classical notions of essential smoothness, essential strict convexity, and Legendreness for convex functions are extended from Euclidean to Banach spaces. A pertinent duality theory is developed and several useful characterizations are given. The proofs rely on new results on the more subtle behavior of subdifferentials and directional derivatives at boundary points of the domain.…