Nontrivial Solutions for Dirichlet Boundary Value Systems with the (p1,…,pn)-Laplacian

Nontrivial Solutions for Dirichlet Boundary Value Systems with the (p1,…,pn)-Laplacian

Using critical point theory due to Bonanno (2012), we prove the existence of at least one nontrivial solution for Dirichlet boundary value systems with the (p1,…,pn)-Laplacian.

Saved in:

Bibliographic Details
Main Authors:	Shang-Kun Wang, Wen-Wu Pan
Format:	Article
Language:	English
Published:	Wiley 2014-01-01
Series:	Journal of Mathematics
Online Access:	http://dx.doi.org/10.1155/2014/505290
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Existence of Nontrivial Solutions for Fractional Differential Equations with p-Laplacian
by: Li Zhang, et al.
Published: (2019-01-01)

Nontrivial Solution for the Fractional p-Laplacian Equations via Perturbation Methods
by: Huxiao Luo, et al.
Published: (2017-01-01)

Existence of Nontrivial Solutions for Perturbed p-Laplacian Equation in ℝN with Critical Nonlinearity
by: Huixing Zhang, et al.
Published: (2014-01-01)

Nontrivial solutions for a generalized poly-Laplacian system on finite graphs
by: Qi Wanting, et al.
Published: (2025-07-01)

Nontrivial Solutions for the 2nth Lidstone Boundary Value Problem
by: Yaohong Li, et al.
Published: (2020-01-01)

Existence of Three Positive Solutions to Some p-Laplacian Boundary Value Problems
by: Moulay Rchid Sidi Ammi, et al.
Published: (2013-01-01)

Magnetic Dirichlet Laplacian in curved waveguides
by: Diana Barseghyan, et al.
Published: (2025-05-01)

Multiple Positive Solutions for a System of Caputo Fractional p-Laplacian Boundary Value Problems
by: Zhi-Wei Lv, et al.
Published: (2020-01-01)

Infinitely Many Solutions for Discrete Boundary Value Problems with the p,q-Laplacian Operator
by: Zhuomin Zhang, et al.
Published: (2021-01-01)

Positive Solutions for Discrete Boundary Value Problems to One-Dimensional p-Laplacian with Delay
by: Linjun Wang, et al.
Published: (2013-01-01)

Some Properties of Solutions to a Class of Dirichlet Boundary Value Problems
by: Tingting Wang, et al.
Published: (2012-01-01)

Variational Method to p-Laplacian Fractional Dirichlet Problem with Instantaneous and Noninstantaneous Impulses
by: Yiru Chen, et al.
Published: (2020-01-01)

The Ratio of Eigenvalues of the Dirichlet Eigenvalue Problem for Equations with One-Dimensional p-Laplacian
by: Gabriella Bognár, et al.
Published: (2010-01-01)

Positive Solutions for a Mixed-Order Three-Point Boundary Value Problem for p-Laplacian
by: Francisco J. Torres
Published: (2013-01-01)

Positive solutions for a Hadamard-type fractional p-Laplacian integral boundary value problem
by: Yihui Xu, et al.
Published: (2024-04-01)

Multiple Positive Solutions for the Dirichlet Boundary Value Problems by Phase Plane Analysis
by: A. Kirichuka, et al.
Published: (2015-01-01)

Stability of Nonlinear Dirichlet BVPs Governed by Fractional Laplacian
by: Dorota Bors
Published: (2014-01-01)

An eigenvalue optimization problem for Dirichlet-Laplacian with a drift
by: محسن زیوری رضاپور
Published: (2024-02-01)

Existence and Multiple Positive Solutions for Boundary Value Problem of Fractional Differential Equation with p-Laplacian Operator
by: Min Jiang, et al.
Published: (2014-01-01)

Existence and Nonexistence of Positive Solutions for Mixed Fractional Boundary Value Problem with Parameter and p-Laplacian Operator
by: Ying Wang
Published: (2018-01-01)

Computation of Positive Solutions for Nonlinear Impulsive Integral Boundary Value Problems with p-Laplacian on Infinite Intervals
by: Xingqiu Zhang
Published: (2013-01-01)

Existence of Positive Solutions for Higher Order (p,q)-Laplacian Two-Point Boundary Value Problems
by: Rajendra Prasad Kapula, et al.
Published: (2013-01-01)

Existence of solutions to fractional p-Laplacian problems with Robin boundary conditions
by: Junhui Xie, et al.
Published: (2025-02-01)

Multiple Solutions for a Class of Dirichlet Double Eigenvalue Quasilinear Elliptic Systems Involving the ()-Laplacian Operator
by: Armin Hadjian, et al.
Published: (2013-01-01)

Positive Solutions for a Second-Order p-Laplacian Boundary Value Problem with Impulsive Effects and Two Parameters
by: Meiqiang Feng
Published: (2014-01-01)

Infinitely Many Weak Solutions of the p-Laplacian Equation with Nonlinear Boundary Conditions
by: Feng-Yun Lu, et al.
Published: (2014-01-01)

Nontrivial Solutions for a Higher Order Nonlinear Fractional Boundary Value Problem Involving Riemann-Liouville Fractional Derivatives
by: Keyu Zhang, et al.
Published: (2019-01-01)

Ground State Solutions for a Class of Fractional Differential Equations with Dirichlet Boundary Value Condition
by: Zhigang Hu, et al.
Published: (2014-01-01)

Dirichlet Boundary Value Problem for the Second Order Asymptotically Linear System
by: A. Gritsans, et al.
Published: (2016-01-01)

Periodic boundary value problems for nth-order ordinary differential equations with p-laplacian
by: Yuji Liu, et al.
Published: (2005-01-01)

A Higher Order Nonresonant p-Laplacian Boundary Value Problem on an Unbounded Domain
by: S. A. Iyase, et al.
Published: (2025-01-01)

Existence Results for $\aleph$-Caputo Fractional Boundary Value Problems with $p$-Laplacian Operator
by: Özlem Batit Özen
Published: (2024-06-01)

Three-Order Multipoint Boundary Value Problems for p-Laplacian Operator on Time Scales
by: Hua Su
Published: (2020-01-01)

Positive Solutions of a Kind of Equations Related to the Laplacian and p-Laplacian
by: Fangfang Zhang, et al.
Published: (2014-01-01)

On the Nonhomogeneous Fourth-Order p-Laplacian Generalized Sturm-Liouville Nonlocal Boundary Value Problems
by: Jian Liu, et al.
Published: (2012-01-01)

Dirichlet and Neumann boundary value problems for bi-polyanalytic functions on the bicylinder
by: Yanyan Cui, et al.
Published: (2025-03-01)

On the Dirichlet Boundary Value Problem for the Cauchy-Riemann Equations in the Half Disc
by: Ali Darya, et al.
Published: (2024-05-01)

Existence and Uniqueness of Positive Solutions of Boundary-Value Problems for Fractional Differential Equations with p-Laplacian Operator and Identities on the Some Special Polynomials
by: Erdoğan Şen, et al.
Published: (2013-01-01)

Existence and properties of nontrivial solutions for novel fractional differential equations with ϕ-Hilfer operators and boundary conditions
by: Zahra Salemi, et al.
Published: (2025-07-01)

Existence of Nontrivial Solutions for Perturbed Elliptic System in ℝN
by: Juan Jiang
Published: (2014-01-01)