Results 1 to 10 of about 14,220 (166)

High precision compact numerical approximation in exponential form for the system of 2D quasilinear elliptic BVPs on a discrete irrational region [PDF]

open access: yesMethodsX, 2022
This article presents a new approximation of order four in exponential form for two-dimensional (2D) quasilinear partial differential equation (PDE) of elliptic form with solution domain being irrational.
R.K. Mohanty   +3 more
doaj   +2 more sources

Lyapunov-type inequalities for quasilinear elliptic equations with Robin boundary condition [PDF]

open access: yesJournal of Inequalities and Applications, 2017
The aim of this study is to prove Lyapunov-type inequalities for a quasilinear elliptic equation in R 2 $\mathbb{R}^{2}$ . Also the lower bound for the first positive eigenvalue of the boundary value problem is obtained.
Ülkü Dinlemez Kantar, Tülay Özden
doaj   +2 more sources

Existence and multiplicity results for quasilinear equations in the Heisenberg group [PDF]

open access: yesOpuscula Mathematica, 2019
In this paper we complete the study started in [Existence of entire solutions for quasilinear equations in the Heisenberg group, Minimax Theory Appl. 4 (2019)] on entire solutions for a quasilinear equation \((\mathcal{E}_{\lambda})\) in \(\mathbb{H}^{n}
Patrizia Pucci
doaj   +1 more source

Multiple solutions for a coercive quasilinear elliptic equation via Morse theory

open access: yesBoundary Value Problems, 2021
We study the quasilinear elliptic problem which is resonant at zero. By using Morse theory, we obtain five nontrivial solutions for the equation with coercive nonlinearities.
Lifang Fu, Mingzheng Sun
doaj   +1 more source

A new existence result for some nonlocal problems involving Orlicz spaces and its applications

open access: yesBoundary Value Problems, 2022
This paper studies some quasilinear elliptic nonlocal equations involving Orlicz–Sobolev spaces. On the one hand, a new sub-supersolution theorem is proved via the pseudomonotone operator theory; on the other hand, using the obtained theorem, we present ...
Xiaohui Qiu, Baoqiang Yan
doaj   +1 more source

Multiplicity of positive solutions for quasilinear elliptic equations involving critical nonlinearity

open access: yesAdvances in Nonlinear Analysis, 2020
We are concerned with the following quasilinear elliptic ...
Fang Xiangdong, Zhang Jianjun
doaj   +1 more source

Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements

open access: yesComptes Rendus. Mathématique, 2023
We establish a Lipschitz stability inequality for the problem of determining the nonlinear term in a quasilinear elliptic equation by boundary measurements.
Choulli, Mourad
doaj   +1 more source

Existence of solution for a quasilinear elliptic Neumann problem involving multiple critical exponents

open access: yesBoundary Value Problems, 2020
In this paper, we study the Neumann boundary value problem to a quasilinear elliptic equation with the critical Sobolev exponent and critical Hardy–Sobolev exponent, and prove the existence of nontrivial nonnegative solution by means of variational ...
Yuanxiao Li, Xiying Wang
doaj   +1 more source

Lions-type theorem of the p-Laplacian and applications

open access: yesAdvances in Nonlinear Analysis, 2021
In this article, our aim is to establish a generalized version of Lions-type theorem for the p-Laplacian. As an application of this theorem, we consider the existence of ground state solution for the quasilinear elliptic equation with the critical growth.
Su Yu, Feng Zhaosheng
doaj   +1 more source

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