Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument

By Giovany M. Figueiredo. 2013

288 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/f39cea2f6a33a17f18ae7f1ddbadb7b6455aef04

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In Applied Mathematics

In Computational Theory and Mathematics

In Control and Systems Engineering

Citations in the corpus

On double phase Kirchhoff problems with singular nonlinearity (2021, methodology): “In the extensive literature on degenerate and nondegenerate Kirchhoff problems, we refer, for example, to the works of Arora-Giacomoni-Mukherjee-Sreenadh [1, 2], Autuori-Pucci-Salvatori [5], D’Ancona-Spagnolo [14], Figueiredo [19], Fiscella [21], Fiscella-Valdinoci [24], Mingqi-Rădulescu-Zhang [38],”
A multiplicity result for a fractional Kirchhoff equation in ℝN with a general nonlinearity (2016, result): “For more recent results concerning Kirchhoff-type equations we refer to [1, 2, 5, 7, 16, 22, 25, 30].”
Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity (2014, methodology): “Indeed, by (M2) we still have positive boundedness from below for M outside a neighborhood of zero, but it is not uniform anymore as in [15, 20].”
A Nonhomogeneous Fractional p-Kirchhoff Type Problem Involving Critical Exponent in ℝN (2016, background): “For instance, in bounded domains we refer to [17, 22, 30]; in the whole space, see [21, 24, 26].”
The critical problem of Kirchhoff type elliptic equations in dimension four (2014, background): “But most of them treat only three or less dimensional case except for [3], [10] and [18].”
A critical Kirchhoff type problem involving a nonlocal operator (2013, background): “to investigate the existence of a nontrivial solution for problem (12), by extending the result in classical Laplacian case dealt with in [10].”
Existence of solution for a class of nonlocal elliptic problem via sub-supersolution method (2013, background): “More details about this class of problem can be see in [4], [5], [7], [16], [20] and [21] and their references.”