Elliptic Singular Fourth Order Equations
Differential Geometry
2012-11-02 v4
Abstract
Using a method developped in [1] and [2], we prove the existence of weak non trivial solutions to fourth order elliptic equations with singularities and with critical Sobolev growth.
Cite
@article{arxiv.1209.3409,
title = {Elliptic Singular Fourth Order Equations},
author = {Mohammed Benalili and Kamel Tahri},
journal= {arXiv preprint arXiv:1209.3409},
year = {2012}
}
Comments
24 pa&ges
Related papers
View all related →
Differential Geometry · Mathematics
Multiple solutions to singular fourth order elliptic equations
Mohammed Benalili, Kamel Tahri
2012-10-24
Analysis of PDEs · Mathematics
Existence and mutiplicity of solutions to elliptic equations of fourth order on compact manifolds
Mohammed Benalili
2010-10-05
Analysis of PDEs · Mathematics
Nodal solutions for fourth order elliptic equations with critical exponent on compact manifolds
Mohamed Bekiri, Mohammed Benalili
2017-04-11
Differential Geometry · Mathematics
Nonlinear elliptic fourth order equations existence and multiplicity results
Mohammed Benalili, Kamel Tahri
2010-10-06
Analysis of PDEs · Mathematics
Nonlinear Elliptic Equations With Variable Exponents Involving Singular Nonlinearity
Hichem Khelifi, Youssef El hadfi
2021-10-29
Analysis of PDEs · Mathematics
On nonlinear elliptic problems with Hardy-Littlewood-Sobolev critical exponent and Sobolev-Hardy critical exponent
Guangze Gu, Aleks Jevnikar
2026-04-09
Analysis of PDEs · Mathematics
Nodal solutions of fourth-order Kirchhoff equations with critical growth in $\mathbb{R}^N$
Hongling Pu, Shiqi Li, Sihua Liang, Dušan D. Repovš
2021-03-29
Analysis of PDEs · Mathematics
Sobolev-type regularity and Pohozaev-type identities for some degenerate and singular problems
Veronica Felli, Giovanni Siclari
2022-01-11
Analysis of PDEs · Mathematics
Existence and uniqueness of solutions of degenerate elliptic equations with lower order terms
Seyma Cetin, David Cruz-Uribe, Feyza Elif Dal, Scott Rodney +1
2025-07-08
Analysis of PDEs · Mathematics
Fourth order weighted elliptic problem under exponential nonlinear growth
Brahim Dridi, Rached Jaidane
2022-06-22
Analysis of PDEs · Mathematics
Singular doubly nonlocal elliptic problems with Choquard type critical growth nonlinearities
Jacques Giacomoni, Divya Goel, K. Sreenadh
2020-02-10
Classical Analysis and ODEs · Mathematics
Singular limits for 4-dimensional semilinear elliptic problems with exponential nonlinearity
Sami Baraket, Makkia Dammak, Taieb Ouni, Frank Pacard
2015-06-26
Analysis of PDEs · Mathematics
Embeddings of weighted Sobolev spaces and a weighted fourth order elliptic equation
Zongming Guo, Fangshu Wan, Liping Wang
2018-04-02
Analysis of PDEs · Mathematics
Elliptic differential equations with measurable coefficients
Doyoon Kim, N. V. Krylov
2007-05-23
Analysis of PDEs · Mathematics
Entire solutions for a class of fourth order semilinear elliptic equations with weights
Paolo Caldiroli, Gabriele Cora
2014-06-23
Analysis of PDEs · Mathematics
Weak compactness of solutions for fourth order elliptic systems with critical growth
Paweł Goldstein, Paweł Strzelecki, Anna Zatorska-Goldstein
2013-01-08
Analysis of PDEs · Mathematics
Fourth order Hardy-Sobolev equations: Singularity and doubly critical exponent
Hussein Cheikh Ali
2023-09-12
Analysis of PDEs · Mathematics
An elliptic problem involving critical Choquard and singular discontinuous nonlinearity
Gurdev C. Anthal, Jacques Giacomoni, Konijeti Sreenadh
2023-09-15
Analysis of PDEs · Mathematics
Three solutions for a fractional elliptic problems with critical and supercritical growth
Jinguo Zhang
2014-04-30
Numerical Analysis · Mathematics
A class of iterative methods for solving nonlinear equation with fourth-order convergence
J. P. Jaiswal
2013-07-30
Analysis of PDEs · Mathematics
Classical Sobolev approach for a critical fourth-order Leray-Lions type problem: existence and multiplicity of solutions
Angelo Guimarães, Edcarlos Domingos da Silva, Eduardo. H. Gomes Tavares, Jin-Yun Yuan
2025-11-04
Analysis of PDEs · Mathematics
Nodal solutions for the weighted biharmonic equation with critical exponential growth
Brahim Dridi, Rachaid Jaidane
2022-11-22
Analysis of PDEs · Mathematics
Singular solutions of semilinear elliptic equations with exponential nonlinearities in 2-dimensions
Yohei Fujishima, Norisuke Ioku, Bernhard Ruf, Elide Terraneo
2024-04-02
Analysis of PDEs · Mathematics
Existence results for quasimonotone semilinear coupled elliptic systems via sub-supersolution method
Shalmali Bandyopadhyay, Briceyda B. Delgado, Nsoki Mavinga, Maria Amarakristi Onydio
2025-11-27
Analysis of PDEs · Mathematics
Existence of nontrivial solutions to a fourth-order Kirchhoff type elliptic equation with critical exponent
Qian Zhang, Yuzhu Han
2023-05-25