A variational approach to a class of singular semilinear elliptic equations

By A. Canino, Marco Degiovanni. 2004

89 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/9281ced29602503e6907c8133c365c3797319ed1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Citations in the corpus

Semilinear problems for the fractional laplacian with a singular nonlinearity (2015, background): “L2/ D 8̂̂<̂ :̂ u D u C u in ; u > 0 in ; u D 0 in @; where , p and are positive numbers (see, among other papers, [3, 4, 8, 12, 14, 21, 35] for an extensive analysis of this kind of problems).”
Positive solutions of the p-Laplace equation with singular nonlinearity (2009, methodology): “We refer the reader to the papers [6,7,9,10,13,17,20,22,30–32,34] for work related to singular boundary value problems when p = 2.”
Mixed local and nonlocal Sobolev inequalities with extremal and associated quasilinear singular elliptic problems (2021, unknown): “MIXED LOCAL AND NONLOCAL QUASILINEAR PROBLEMS 3 [21, 22, 24].”
Brezis–Nirenberg type theorems and multiplicity of positive solutions for a singular elliptic problem (2008, methodology): “Then we can use Canino and Degiovanni’s argument in [6], which relates the continuity of ē with the smoothness of the boundary of Ω (which is measured via the so-called Wiener criterion).”
Combined effects in mixed local–nonlocal stationary problems (2021, background): “nonlinearities with source terms or absorption terms, we refer to [28, 48, 20, 44] with no intent to furnish an exhaustive list.”
Nonlocal problems with singular nonlinearity (2016, methodology): “The technique used in the proof of the uniqueness result goes back to [8] where the uniqueness of the solution is implicitly proved in the case f = 1, p = 2 and s = 1.”
On singular elliptic equations with measure sources (2015, background): “1) if both f and μ belong to L(Ω), with q > N2 , while in [15] symmetry properties for solutions of a related semilinear problem are considered (see also [14, 13, 16] for further related results).”
Finite and infinite energy solutions of singular elliptic problems: Existence and uniqueness (2016, background): “eferences cited therein in which various relevant extensions and reﬁn ements (nonhomogeneous case, variational approach, nonlinear principal operators, natural growth terms, etc, ...) are considered: [45, 24, 11, 10, 2, 28, 27, 12, 14, 44, 18, 16, 13]. Consider now the boundary-value problem ( Lu= h”