Results 41 to 50 of about 62 (52)

On a Singular Robin Problem with Convection Terms

Advanced Nonlinear Studies, 2020
In this paper, the existence of smooth positive solutions to a Robin boundary-value problem with non-homogeneous differential operator and reaction given by a nonlinear convection term plus a singular one is established.
Guarnotta Umberto, Marano Salvatore A., Motreanu Dumitru   +2 more
doaj   +1 more source

Improved results on planar Klein-Gordon-Maxwell system with critical exponential growth

Advances in Nonlinear Analysis
This work is concerned with the following Klein-Gordon-Maxwell system: −Δu+V(x)u−(2ω+ϕ)ϕu=f(u),x∈R2,Δϕ=(ω+ϕ)u2,x∈R2,\left\{\begin{array}{ll}-\Delta u+V\left(x)u-\left(2\omega +\phi )\phi u=f\left(u),\hspace{1.0em}& x\in {{\mathbb{R}}}^{2},\\ \Delta \phi =
Wen Lixi, Jin Peng
doaj   +1 more source

Normalized solutions for the Choquard equations with critical nonlinearities

Advances in Nonlinear Analysis
This study is concerned with the existence of normalized solutions for the Choquard equations with critical nonlinearities −Δu+λu=f(u)+(Iα∗∣u∣2α*)∣u∣2α*−2u,inRN,∫RN∣u∣2dx=a2,\left\{\begin{array}{l}-\Delta u+\lambda u=f\left(u)+\left({I}_{\alpha }\ast ...
Gao Qian, He Xiaoming
doaj   +1 more source

Nodal Solutions for a Quasilinear Elliptic Equation Involving the p-Laplacian and Critical Exponents

Advanced Nonlinear Studies, 2018
This paper is concerned with the following type of quasilinear elliptic equations in ℝN{\mathbb{R}^{N}} involving the p-Laplacian and critical growth:
Deng Yinbin, Peng Shuangjie, Wang Jixiu
doaj   +1 more source

A generalized p-Laplacian problem with parameters

Demonstratio Mathematica
In recent years, research into the multiplicity of solutions to the pp-Laplace operator problem has attracted attention, and several important results have been investigated and others still remain open.
Zuo Jiabin, Heidarkhani Shapour, Moradi Shahin, Sousa José Vanterler da Costa   +3 more
doaj   +1 more source

Global W1,p(·) estimate for renormalized solutions of quasilinear equations with measure data on Reifenberg domains

Advances in Nonlinear Analysis, 2018
In this paper, we prove the gradient estimate for renormalized solutions to quasilinear elliptic equations with measure data on variable exponent Lebesgue spaces with BMO coefficients in a Reifenberg flat domain.
Bui The Anh
doaj   +1 more source

On Cauchy–Liouville-type theorems

Advances in Nonlinear Analysis, 2017
In this paper we explore Liouville-type theorems to solutions of PDEs involving the ϕ-Laplace operator in the setting of Orlicz–Sobolev spaces. Our results extend Liouville-type theorems that have been obtained recently.
Araya Ataklti, Mohammed Ahmed
doaj   +1 more source

Nonlinear elliptic unilateral problems with measure data in the anisotropic Sobolev space

Nonautonomous Dynamical Systems
In this article, we consider a nonlinear elliptic unilateral equation whose model is −∑i=1N∂iσi(x,u,∇u)+L(x,u,∇u)+N(x,u,∇u)=μ−divϕ(u)inΩ.-\mathop{\sum }\limits_{i=1}^{N}{\partial }^{i}{\sigma }_{i}\left(x,u,\nabla u)+L\left(x,u,\nabla u)+N\left(x,u ...
Bouzelmate Arij, El Haji Badr, Lamtarah Adnan   +2 more
doaj   +1 more source

Ground State Solutions for Quasilinear Schrödinger Equations with Critical Growth and Lower Power Subcritical Perturbation

Advanced Nonlinear Studies, 2019
We study the following generalized quasilinear Schrödinger equation:
Deng Yinbin, Huang Wentao, Zhang Shen
doaj   +1 more source

Entire radial bounded solutions for Leray-Lions equations of (p, q)-type

Advances in Nonlinear Analysis
We prove the existence of entire, radial, and signed bounded solutions for a quasilinear elliptic equation in RN{{\mathbb{R}}}^{N} driven by a Leray-Lions operator of the (p, q)-type.
Mennuni Federica, Mugnai Dimitri, Salvatore Addolorata   +2 more
doaj   +1 more source