A note on the variational structure of an elliptic system
involving critical Sobolev exponent

A note on the variational structure of an elliptic system involving critical Sobolev exponent

We consider an elliptic system involving critical growth conditions. We develop a technique of variational methods for elliptic systems. Using the well-known results of maximum principle for systems developed by Fleckinger et al. (1995), we can find positive solutions. Also, we generalize the system...

Full description

Bibliographic Details
Main Author:	Mario Zuluaga
Format:	Article
Language:	English
Published:	Hindawi Limited 2003-01-01
Series:	Journal of Applied Mathematics
Online Access:	http://dx.doi.org/10.1155/S1110757X03208032

Similar Items

Existence results for elliptic systems involving critical Sobolev exponents
by: Mohammed Bouchekif, et al.
Published: (2004-11-01)

Nonhomogeneous elliptic equations involving critical Sobolev exponent and weight
by: Mohammed Bouchekif, et al.
Published: (2016-01-01)

Existence of solutions for elliptic systems with critical Sobolev exponent
by: Pablo Amster, et al.
Published: (2002-06-01)

Nonhomogeneous elliptic problems of Kirchhoff type involving critical Sobolev exponents
by: Safia Benmansour, et al.
Published: (2015-03-01)

Solutions for the quasi-linear elliptic problems involving the critical Sobolev exponent
by: Yanbin Sang, et al.
Published: (2017-09-01)

Semilinear elliptic problems involving Hardy-Sobolev-Maz'ya potential and Hardy-Sobolev critical exponents
by: Rui-Ting Jiang, et al.
Published: (2016-01-01)

The Solvability of Concave-Convex Quasilinear Elliptic Systems Involving $p$-Laplacian and Critical Sobolev Exponent
by: Somayeh Khademloo, et al.
Published: (2018-11-01)

Fractional elliptic problems with two critical Sobolev-Hardy exponents
by: Wenjing Chen
Published: (2018-01-01)

Semilinear elliptic partial differential equations with the critical Sobolev exponent
by: Mavuso, Melusi Manqoba
Published: (2017)

Multiple Symmetric Results for Quasilinear Elliptic Systems Involving Singular Potentials and Critical Sobolev Exponents in RN
by: Zhiying Deng, et al.
Published: (2014-01-01)

Critical growth elliptic problems involving Hardy-Littlewood-Sobolev critical exponent in non-contractible domains
by: Goel Divya, et al.
Published: (2019-08-01)

On a fourth-order elliptic Kirchhoff type problem with critical Sobolev exponent
by: Mohammed Massar
Published: (2020-11-01)

Existence of Multiple Solutions for a Singular Elliptic Problem with Critical Sobolev Exponent
by: Zonghu Xiu
Published: (2012-01-01)

Existence of solution for a singular elliptic equation with critical Sobolev-Hardy exponents
by: Juan Li
Published: (2005-01-01)

Multiple Nontrivial Solutions for a Class of Biharmonic Elliptic Equations with Sobolev Critical Exponent
by: Xiaoyong Qian, et al.
Published: (2018-01-01)

The existence of positive solutions for the Neumann problem of p-Laplacian elliptic systems with Sobolev critical exponent
by: An, T., et al.
Published: (2022)

Multiplicity of Solutions for an Elliptic Problem with Critical Sobolev-Hardy Exponents and Concave-Convex Nonlinearities
by: Juan Li, et al.
Published: (2014-01-01)

Quasilinear Elliptic Equations with Hardy-Sobolev Critical Exponents: Existence and Multiplicity of Nontrivial Solutions
by: Guanwei Chen
Published: (2014-01-01)

Existence of multiple positive solutions for quasilinear elliptic systems involving critical hardy–sobolev exponents and sign-changing weight function
by: Nemat Nyamoradi
Published: (2012-06-01)

Multiplicity of Positive Solutions for Weighted Quasilinear Elliptic Equations Involving Critical Hardy-Sobolev Exponents and Concave-Convex Nonlinearities
by: Tsing-San Hsu, et al.
Published: (2012-01-01)

Non-homogeneous problem for fractional Laplacian involving critical Sobolev exponent
by: Kun Cheng, et al.
Published: (2017-12-01)

Multiple positive solutions for degenerate elliptic equations with critical cone Sobolev exponents on singular manifolds
by: Haining Fan, et al.
Published: (2013-08-01)

Toward the theory of the Sobolev classes with critical exponent
by: O.S. Afanas’eva, et al.
Published: (2019-08-01)

Inhomogeneous Neumann problem with critical Sobolev exponent
by: Chabrowski Jan
Published: (2012-08-01)

Multiple positive solutions for equations involving critical Sobolev exponent in R^N
by: Claudianor Oliveira Alves
Published: (1997-08-01)

Multiple solutions for weighted Kirchhoff equations involving critical Hardy-Sobolev exponent
by: Shen Zupei, et al.
Published: (2020-11-01)

Positive Solutions for Elliptic Problems with the Nonlinearity Containing Singularity and Hardy-Sobolev Exponents
by: Yong-Yi Lan, et al.
Published: (2020-01-01)

Existence and multiplicity of solutions to strongly indefinite Hamiltonian system involving critical Hardy-Sobolev exponents
by: Francisco Odair De Paiva, et al.
Published: (2013-03-01)

The Existence of Positive Solution for Semilinear Elliptic Equations with Multiple an Inverse Square Potential and Hardy-Sobolev Critical Exponents
by: M. Khiddi
Published: (2019-01-01)

The minimizing problem involving $p$-Laplacian and Hardy–Littlewood–Sobolev upper critical exponent
by: Yu Su, et al.
Published: (2018-08-01)

Multiple solutions to the Kirchhoff fractional equation involving Hardy–Littlewood–Sobolev critical exponent
by: Jichao Wang, et al.
Published: (2019-07-01)

Existence of Nonradial Solutions for Hénon Type Biharmonic Equation Involving Critical Sobolev Exponents
by: Yajing Zhang, et al.
Published: (2014-01-01)

On non-homogeneous quasi-linear PDEs involving the p-Laplacian and the critical sobolev exponent
by: Yuan, Chaogui
Published: (2009)

On non-homogeneous quasi-linear PDEs involving the p-Laplacian and the critical sobolev exponent
by: Yuan, Chaogui
Published: (2009)

Nontrivial Solution for a Nonlocal Elliptic Transmission Problem in Variable Exponent Sobolev Spaces
by: Bilal Cekic, et al.
Published: (2010-01-01)

Multiple solutions for a fractional Laplacian system involving critical Sobolev-Hardy exponents and homogeneous term
by: Jinguo Zhang, et al.
Published: (2020-01-01)

Multiplicity of positive solutions for a class of singular elliptic equations with critical Sobolev exponent and Kirchhoff-type nonlocal term
by: Jiu Liu, et al.
Published: (2018-12-01)

Multiplicity of solutions to the sum of polyharmonic equations with critical Sobolev exponents
by: Wei Liu, et al.
Published: (2015-02-01)

Schrodinger equations with magnetic fields and Hardy-Sobolev critical exponents
by: Zhenyu Guo, et al.
Published: (2017-08-01)

Existence of solutions for quasilinear elliptic systems involving critical exponents and Hardy terms
by: Dengfeng Lu
Published: (2013-01-01)

Cannot write session to /tmp/vufind_sessions/sess_lqrphui39i7f8i3521j657h6oh