A critical fractional Laplace equation in the resonant case

By Raffaella Servadei. 2016

66 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c8a97763a18861e9357f80e88cefbb93810bd5a9

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In Applied Mathematics

1. Vicentiu D. Rădulescu
2. Marco Squassina
3. Giovanni Molica Bisci
4. A. Fiscella
5. Binlin Zhang
6. Yang Yang
7. Sunra Mosconi
8. Kanishka Perera

In Mathematical Physics

1. Vicentiu D. Rădulescu
2. Giovanni Molica Bisci
3. Marco Squassina
4. Sunra Mosconi
5. Kanishka Perera
6. A. Fiscella
7. Yang Yang
8. Jihui Zhang

Citations in the corpus

• Variational Methods for Nonlocal Fractional Problems (2016, background): “Combinatorics, Words and Symbolic Dynamics 160 B. Rubin Introduction to Radon Transforms: With Elements of Fractional Calculus and Harmonic Analysis 161 M. Ghergu and S. D. Taliaferro Isolated Singularities in Partial Differential Inequalities 162 G. Molica Bisci, V. Radulescu and R. Servadei Variat”
• The Brezis–Nirenberg problem for the fractional p-Laplacian (2015, background): “5 [41] R. Servadei.”
• Bifurcation and multiplicity results for critical fractional p‐Laplacian problems (2014, background): “Indeed, the linking argument based on eigenspaces of (−∆)s in [21] does not work when N ≥ 3 since the operator (−∆)p does not possess linear eigenspaces.”
• A bifurcation result for non-local fractional equations (2015, background): “In [4] [7] [8] [11] [19] [20] [21] [23] [24] [25] [26] [27] [30] (see also the references therein) the authors studied non-local fractional Laplacian equations with superlinear and subcritical or critical nonlinearities, while in [12] [13] the asymptotically linear case was exploited.”
• BIFURCATION AND MULTIPLICITY RESULTS FOR CRITICAL NONLOCAL FRACTIONAL LAPLACIAN PROBLEMS (2016, result): “2), a positive answer has been given in the recent papers [24, 25, 30], also in presence of a perturbation of the critical term (for this see, for instance, [29, 31]): in all these papers the classical and well known existence results for (1.”
• Borderline Variational Problems Involving Fractional Laplacians and Critical Singularities (2015, background): “These cases were also studied on smooth bounded domains (see for example [2], [3], [5], [15], [34] and the references therein).”
• Ground states for fractional Schrödinger equations with critical growth (2014, background): “Servadei [25] studied the following fractional equation involving critical nonlinearities: { (− )u − λu = |u|2 u in , (4) u = 0 in R \ , (5) where λ is a positive constant, ⊂ R is an open bounded domain with Lipschitz boundary.”