Results 1 to 10 of about 10,058 (262)

Three solutions for second-order boundary-value problems with variable exponents

Electronic Journal of Qualitative Theory of Differential Equations, 2018
This paper presents several sufficient conditions for the existence of at least three weak solutions of a nonhomogeneous Neumann problem for an ordinary differential equation with $p(x)$-Laplacian operator. The technical approach is variational, based on
Shapour Heidarkhani, Shahin Moradi, Stepan Tersian   +2 more
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Existence and blow up of solutions for a strongly damped Petrovsky equation with variable-exponent nonlinearities

Electronic Journal of Differential Equations, 2021
In this article, we consider a nonlinear plate (or beam) Petrovsky equation with strong damping and source terms with variable exponents. By using the Banach contraction mapping principle we obtain local weak solutions, under suitable assumptions on ...
Stanislav Antontsev, Jorge Ferreira, Erhan Piskin   +2 more
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Blow-up phenomena for a pseudo-parabolic system with variable exponents

Electronic Journal of Qualitative Theory of Differential Equations, 2017
In this paper, we consider a pseudo-parabolic system with nonlinearities of variable exponent type \begin{align*} \begin{cases} u_t-\Delta u_t-\operatorname{div}(|\nabla u|^{m(x)-2}\nabla u)=|uv|^{p(x)-2}uv^2 & \mbox{in}\ \Omega\times(0,T),\\
Qi Qi, Yujuan Chen, Qingshan Wang
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Approximation problems in the Lebesgue spaces with variable exponent

Journal of Mathematical Analysis and Applications, 2018
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İsrafilov, Daniyal M., Testici, Ahmet
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Fractional Sobolev spaces with variable exponents and fractional $p(x)$-Laplacians

Electronic Journal of Qualitative Theory of Differential Equations, 2017
In this article we extend the Sobolev spaces with variable exponents to include the fractional case, and we prove a compact embedding theorem of these spaces into variable exponent Lebesgue spaces.
Uriel Kaufmann, Julio Rossi, Raul Vidal
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Multiplicity of weak solutions to degenerate weighted quasilinear elliptic equations with nonlocal terms and variable exponents

Electronic Journal of Qualitative Theory of Differential Equations
This paper studies the existence and multiplicity of weak solutions to degenerate weighted quasilinear elliptic equations with nonlocal nonlinearities and variable exponents.
Khaled Kefi
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Existence of solutions for some nonlinear elliptic unilateral problems with measure data

Electronic Journal of Qualitative Theory of Differential Equations, 2013
In this paper we prove the existence of entropy solution to unilateral problems associated to the equations of the type: $Au-div(\phi(u))=\mu\in L^{1}(\Omega)+W^{-1,p'(x)}(\Omega)$, where $A$ is a Leray-Lions operator acted from $W_{0}^{1,p(x)}(\Omega ...
Chihab Yazough, El houssine Azroul, Hicham Redwane   +2 more
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Nonlinear elliptic systems with variable exponents and measure data

Moroccan Journal of Pure and Applied Analysis, 2015
In this paper we prove existence results for distributional solutions of nonlinear elliptic systems with a measure data. The functional setting involves Lebesgue-Sobolev spaces as well as weak Lebesgue (Marcinkiewicz) spaces with variable exponents W01,p(
Bendahmane Mostafa, Mokhtari Fares
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Existence of positive solutions for p(x)-Laplacian equations with a singular nonlinear term

Electronic Journal of Differential Equations, 2014
In this article, we study the existence of positive solutions for the p(x)-Laplacian Dirichlet problem $$ -\Delta _{p(x)}u=\lambda f(x,u) $$ in a bounded domain $\Omega \subset \mathbb{R}^{N}$.
Jingjing Liu, Qihu Zhang, Chunshan Zhao
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Weighted norm inequality for bilinear Calderón–Zygmund operators on Herz–Morrey spaces with variable exponents

Journal of Inequalities and Applications, 2019
In this paper, we obtain a weighted norm inequality of bilinear Calderón–Zygmund operators in Herz–Morrey spaces with variable exponents and weight in the variable Muckenhoupt class.
Shengrong Wang, Jingshi Xu
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