Results 71 to 80 of about 2,887 (118)

On the removability of isolated singular points for elliptic equations involving variable exponent

open access: yesAdvances in Nonlinear Analysis, 2016
In this paper, we study the problem of removable isolated singularities for elliptic equations with variable exponents. We give a sufficient condition for removability of the isolated singular point for the equations in W1,p(x)(Ω)${W^{1,p(x)}(\Omega )}$.
Fu Yongqiang, Shan Yingying
doaj   +1 more source

Anisotropic problems with unbalanced growth

open access: yesAdvances in Nonlinear Analysis, 2020
The main purpose of this paper is to study a general class of (p, q)-type eigenvalues problems with lack of compactness. The reaction is a convex-concave nonlinearity described by power-type terms.
Alsaedi Ahmed, Ahmad Bashir
doaj   +1 more source

Global bifurcation of coexistence states for a prey-predator model with prey-taxis/predator-taxis

open access: yesAdvanced Nonlinear Studies, 2023
This article is concerned with the stationary problem for a prey-predator model with prey-taxis/predator-taxis under homogeneous Dirichlet boundary conditions, where the interaction is governed by a Beddington-DeAngelis functional response.
Li Shanbing, Wu Jianhua
doaj   +1 more source

Multiple solutions for Neumann systems in an Orlicz-Sobolev space setting

open access: yes, 2017
In this paper, the authors improve some results on the existence of at least three weak solutions for non-homogeneous systems. The proof of the main result relies on a recent variational principle due to Ricceri.
G. Afrouzi, J. Graef, S. Shokooh
semanticscholar   +1 more source

On a nonlinear Robin problem with an absorption term on the boundary and L1 data

open access: yesAdvances in Nonlinear Analysis
We deal with existence and uniqueness of nonnegative solutions to: −Δu=f(x),inΩ,∂u∂ν+λ(x)u=g(x)uη,on∂Ω,\left\{\begin{array}{ll}-\Delta u=f\left(x),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\Omega ,\\ \frac{\partial u}{\partial ...
Pietra Francesco Della   +2 more
doaj   +1 more source

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

open access: yesAdvances 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

Constant sign and nodal solutions for superlinear (p, q)–equations with indefinite potential and a concave boundary term

open access: yesAdvances in Nonlinear Analysis, 2020
We consider a nonlinear elliptic equation driven by the (p, q)–Laplacian plus an indefinite potential. The reaction is (p − 1)–superlinear and the boundary term is parametric and concave.
Papageorgiou Nikolaos S., Zhang Youpei
doaj   +1 more source

Generalized Liouville theorem for viscosity solutions to a singular Monge-Ampère equation

open access: yesAdvances in Nonlinear Analysis, 2023
In this article, we study the asymptotic behaviour at infinity for viscosity solutions to a singular Monge-Ampère equation in half space from affine geometry.
Jian Huaiyu, Wang Xianduo
doaj   +1 more source

Eigenvalues for a class of singular problems involving p(x)-Biharmonic operator and q(x)-Hardy potential

open access: yesAdvances in Nonlinear Analysis, 2019
In this paper, we consider the nonlinear eigenvalue problem:
Khalil Abdelouahed El   +3 more
doaj   +1 more source

Nontrivial solutions to the p-harmonic equation with nonlinearity asymptotic to |t|p–2t at infinity

open access: yesAdvances in Nonlinear Analysis, 2021
We consider the following p-harmonic ...
He Qihan, Lv Juntao, Lv Zongyan
doaj   +1 more source

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