Existence of at least one nontrivial solution for a class of problems involving both p(x)-Laplacian and p(x)-Biharmonic

Existence of at least one nontrivial solution for a class of problems involving both p(x)-Laplacian and p(x)-Biharmonic

We investigate the existence of a weak nontrivial solution for the following problem. Our analysis is generally bathed on discussions of variational based on the Mountain Pass theorem and some recent theories one the generalized Lebesgue-Sobolev space. This paper guarantees the existence of at least...

Full description

Bibliographic Details
Main Authors:	Atieh Ramzannia Jalali, Ghasem Alizadeh Afrouzi
Format:	Article
Language:	fas
Published:	Kharazmi University 2022-03-01
Series:	پژوهش‌های ریاضی
Subjects:	p(x)-biharmonic operator p(x)-harmonic operator palais-smale condition mountain pass theorem generalized lebesgue-sobolev space.
Online Access:	http://mmr.khu.ac.ir/article-1-3035-en.html

Similar Items

Existence and multiplicity results for a class of Kirchho type problems involving the p(x)-biharmonic operator
by: Omar Darhouche
Published: (2019-04-01)

Existence of solutions for a $p(x)$-Laplacian non-homogeneous equations
by: Ionica Andrei
Published: (2009-06-01)

Existence of solutions for a class of strongly coupled $p(x)-$ laplacian system
by: Eada Ahmed Al Zahrani, et al.
Published: (2018-10-01)

Existence results for p(x)-biharmonic problems involving a singular and a Hardy type nonlinearities
by: Abdeljabbar Ghanmi, et al.
Published: (2023-11-01)

Existence of beam-equation solutions with strong damping and p(x)-biharmonic operator
by: Ferreira Jorge, et al.
Published: (2022-01-01)

Solutions to perturbed eigenvalue problems of the p-Laplacian in R<sup><small>N</small></sup>
by: Joao Marcos Do O
Published: (1997-07-01)

Solutions to a ( p ( x ) , q ( x ) ) $(p(x),q(x))$ -biharmonic elliptic problem on a bounded domain
by: Ali Khaleghi, et al.
Published: (2023-05-01)

Multiple small solutions for $p(x)$-Schrödinger equations with local sublinear nonlinearities via genus theory
by: Rabil Ayazoglu (Mashiyev), et al.
Published: (2017-11-01)

Infinitely many solutions for a nonlinear Navier problem involving the p-biharmonic operator
by: Filippo Cammaroto
Published: (2022-12-01)

Singular p-biharmonic problems involving the Hardy-Sobolev exponent
by: Amor Drissi, et al.
Published: (2023-09-01)

Existence and multiplicity of solutions for a Steklov problem involving the p(x)-Laplace operator
by: Mostafa Allaoui, et al.
Published: (2012-08-01)

The Nehari manifold approach for $p(x)$-Laplacian problem with Neumann boundary condition
by: A. Taghavi, et al.
Published: (2013-07-01)

Pohozaev-type inequalities and nonexistence results for non C^2 solutions of p(x)-Laplacian equations
by: Gabriel Lopez
Published: (2014-11-01)

$p$-biharmonic equation with Hardy–Sobolev exponent and without the Ambrosetti–Rabinowitz condition
by: Weihua Wang
Published: (2020-06-01)

Existence of nontrivial solutions for Schrodinger-Kirchhoff equations with indefinite potentials
by: Shuai Jiang, et al.
Published: (2023-02-01)

Positive solutions for concave-convex elliptic problems involving $p(x)$-Laplacian
by: Makkia Dammak, et al.
Published: (2022-07-01)

Unique continuation for solutions of p(x)-Laplacian equations
by: Johnny Cuadro, et al.
Published: (2012-01-01)

Infinitely Many Solutions for a Steklov Problem Involving the p(x)-Laplacian Operator
by: Armin Hadjian
Published: (2018-12-01)

Existence of multiple solutions for a p(x)-biharmonic equation
by: Lin Li, et al.
Published: (2013-06-01)

Weak solutions to Dirichlet boundary value problem driven by p(x)-Laplacian-like operator
by: Calogero Vetro
Published: (2018-01-01)

Three nontrivial solutions for some elliptic equation involving the $N$-Laplacian
by: Sami Aouaoui
Published: (2015-02-01)

p(x)-Kirchhoff bi-nonlocal elliptic problem driven by both p(x)-Laplacian and p(x)-Biharmonic operators
by: Jennane Mohsine, et al.
Published: (2023-09-01)

Infinitely many solutions for a class of hemivariational inequalities involving p(x)-Laplacian
by: Fattahi Fariba, et al.
Published: (2017-07-01)

Solutions for Steklov boundary value problems involving p(x)-Laplace operators
by: Mostafa Allaoui, et al.
Published: (2014-01-01)

An overdetermined problem of the biharmonic operator on Riemannian manifolds
by: Fan Chen, et al.
Published: (2023-02-01)

Existence and multiplicity of solutions for a Schrödinger type equations involving the fractional p(x)-Laplacian
by: Shuhai Zhu
Published: (2023-05-01)

Asymmetric superlinear problems under strong resonance conditions
by: Leandro Recova, et al.
Published: (2017-06-01)

On a new p(x)-Kirchhoff type problems with p(x)-Laplacian-like operators and Neumann boundary conditions
by: Ouaarabi Mohamed El, et al.
Published: (2023-11-01)

Multiplicity results for a class of $p(x)$-Kirchhoff type equations with combined nonlinearities
by: Nguyen Thanh Chung
Published: (2012-04-01)

Existence of infinitely many solutions for a Steklov problem involving the p(x)-Laplace operator
by: Mostafa Allaoui, et al.
Published: (2014-05-01)

Nonnegative nontrivial solutions for a class of p ( x ) $p(x)$ -Kirchhoff equation involving concave-convex nonlinearities
by: Changmu Chu, et al.
Published: (2023-04-01)

Existence and multiplicity of solutions for fractional $ p(x) $-Kirchhoff-type problems
by: Zhiwei Hao, et al.
Published: (2023-04-01)

Existence and multiplicity of solutions for fractional p 1 ( x , ⋅ ) & p 2 ( x , ⋅ ) $p_{1}(x,\cdot )\& p_{2}(x,\cdot )$ -Laplacian Schrödinger-type equations with Robin boundary conditions
by: Zhenfeng Zhang, et al.
Published: (2024-03-01)

On certain nonlinear elliptic systems with indefinite terms
by: Ahmed Bensedik, et al.
Published: (2002-10-01)

On a nonlinear PDE involving weighted $p$-Laplacian
by: A. El Khalil, et al.
Published: (2019-03-01)

Critical point result of Schechter type in a Banach space
by: Hannelore Lisei, et al.
Published: (2016-03-01)

Characterization of Biharmonic Hypersurface
by: S.K. Srivastava, et al.
Published: (2022-12-01)

Multiplicity of solutions for a class of elliptic systems in $R^N$
by: Giovany M. Figueiredo
Published: (2006-07-01)

Existence and multiplicity of solutions for a nonhomogeneous Neumann boundary problem
by: Liliana Klimczak
Published: (2015-01-01)

Gradient and Parameter Dependent Dirichlet (<i>p</i>(<i>x</i>),<i>q</i>(<i>x</i>))-Laplace Type Problem
by: Kholoud Saad Albalawi, et al.
Published: (2022-04-01)