Nonlocal problems with singular nonlinearity
By A. Canino, Luigi Montoro, Berardino Sciunzi, Marco Squassina. 2016
108 citations recorded by the source corpus.
Abstract We investigate existence and uniqueness of solutions for a class of nonlinear nonlocal problems involving the fractional p-Laplacian operator and singular nonlinearities.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/d5eba942ee03f1d70c5f09f47961ba0ecb8776e1
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In Applied Mathematics
- R. Arora
- A. Fiscella
- Vicentiu D. Rădulescu
- P. Garain
- A. Ukhlov
- Binlin Zhang
- Patrizia Pucci
- Dušan D. Repovš
Citations in the corpus
- Combined effects in mixed local–nonlocal stationary problems (2021, methodology): “For further issues on nonlocal and nonlinear singular problems, the interested reader can consult to the bibliographic references in [8, 6, 21, 23, 35].”
- Mixed local and nonlocal Sobolev inequalities with extremal and associated quasilinear singular elliptic problems (2021, background): “In the nonlocal case, for 0 < s < 1, the problem (F) (−∆p) su = f(x) u(x)δ in Ω, u > 0 in Ω, u = 0 in RN \ Ω, has been studied by Fang [42] in the semilinear case p = 2; Canino-Montoro-Sciunzi-Squassina [23], Garain-Mukherjee [49] in the quasilinear case.”
- A fractional Kirchhoff problem involving a singular term and a critical nonlinearity (2017, background): “In [8], Canino, Montoro, Sciunzi and Squassina generalize the results of [4, Section 3] to the delicate case of the p-fractional Laplace operator (−∆)p.”