Existence of entire solutions for a class of quasilinear elliptic equations

By G. Autuori, Patrizia Pucci. 2013

104 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/da182b9f5e1bc389ae8b1aef464176d1d7c07cb5

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In Applied Mathematics

In Computational Theory and Mathematics

Citations in the corpus

Existence and multiplicity of entire solutions for fractional p-Kirchhoff equations (2016, methodology): “6), the authors solved the open problems stated in [6] and further extended the results of [6] from the case max{2, p} < q < min{r, p∗} to the case 1 ≪ q ≪ r.”
DENSITY PROPERTIES FOR FRACTIONAL SOBOLEV SPACES (2015, background): “Recently, in the literature a deep interest was shown for nonlocal operators, thanks to their intriguing analytical structure and in view of several applications in a wide range of contexts, such as the thin obstacle problem, optimization, finance, phase transitions, stratified materials, anomalous…”
Existence of solutions for perturbed fractional p-Laplacian equations (2016, background): “Our results extend the previous work of Autuori and Pucci (2013) [5] to the fractional p-Laplacian setting.”
Elliptic problems involving the fractional Laplacian in RN (2013, methodology): “1(ii) extends Theorem A of [4] to non-local integro-differential equations.”
Existence theorems for entire solutions of stationary Kirchhoff fractional p-Laplacian equations (2016, unknown): “For instance, M(t) = 2 in [0, 1], M(t) = 3− t in [1, 2], M(t) = 1 in [2, 3], M(t) = t− 2 in [3, 2 √ 3] and finally M(t) = 2 √ 3− 2 in [2 √ 3,∞) is a non monotone function satisfying (M), with θ = 1.”
On doubly nonlocal fractional elliptic equations (2015, background): “We mention, for completeness, that the existence and multiplicity of solutions for elliptic equations in IR, driven by a nonlocal integro-differential operator, whose standard prototype is the fractional Laplacian, have been studied by Autuori and Pucci in [9] (this work is related to the results on”