Results 1 to 10 of about 16,559 (211)

Sturmian comparison and oscillation theorems for quasilinear elliptic equations with mixed nonlinearities via Picone-type inequality [PDF]

open access: yes, 2010
A Picone-type inequality is established for quasilinear elliptic operators with mixed nonlinearities, and Sturmian comparison and oscillation theorems for quasilinear elliptic equations are derived by using the Picone-type ...
Yoshida Norio
core   +1 more source

Simultaneous identification of diffusion and absorption coefficients in a quasilinear elliptic problem

open access: yes, 2013
In this work we consider the identifiability of two coefficients $a(u)$ and $c(x)$ in a quasilinear elliptic partial differential equation from observation of the Dirichlet-to-Neumann map.
Egger, Herbert   +2 more
core   +1 more source

The Existence and Uniqueness Result for a Relativistic Nonlinear Schrödinger Equation

open access: yesAbstract and Applied Analysis, 2014
We study the existence and uniqueness of positive solutions for a class of quasilinear elliptic equations. This model has been proposed in the self-channeling of a high-power ultrashort laser in matter.
Yongkuan Cheng, Jun Yang
doaj   +1 more source

Singular quasilinear elliptic systems in $\mathbb{R}^N$

open access: yes, 2018
The existence of positive weak solutions to a singular quasilinear elliptic system in the whole space is established via suitable a priori estimates and Schauder's fixed point ...
Marano, S. A., Marino, G., Moussaoui, A.
core   +1 more source

Solvability of quasilinear elliptic equations with strong dependence on the gradient

open access: yesAbstract and Applied Analysis, 2000
We study the problem of existence of positive, spherically symmetric strong solutions of quasilinear elliptic equations involving p-Laplacian in the ball. We allow simultaneous strong dependence of the right-hand side on both the unknown function and its
Darko Žubrinić
doaj   +1 more source

Nonexistence of positive supersolutions of elliptic equations via the maximum principle [PDF]

open access: yes, 2010
We introduce a new method for proving the nonexistence of positive supersolutions of elliptic inequalities in unbounded domains of $\mathbb{R}^n$. The simplicity and robustness of our maximum principle-based argument provides for its applicability to ...
Armstrong, Scott N., Sirakov, Boyan
core  

An application of global gradient estimates in Lorentz-Morrey spaces for the existence of stationary solutions to degenerate diffusive Hamilton-Jacobi equations

open access: yesElectronic Journal of Differential Equations, 2019
In mathematics and physics, the Kardar-Parisi-Zhang equation or quasilinear stationary version of a time-dependent viscous Hamilton-Jacobi equation in growing interface and universality classes is also known as the quasilinear Riccati type equation ...
Minh-Phuong Tran, Thanh-Nhan Nguyen
doaj  

Positive solutions of critical quasilinear elliptic problems in general domains

open access: yesAbstract and Applied Analysis, 1998
We consider a certain class of quasilinear elliptic equations with a term in the critical growth range. We prove the existence of positive solutions in bounded and unbounded domains.
Filippo Gazzola
doaj   +1 more source

Solutions of anisotropic elliptic equations in unbounded domains

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013
In the paper the Dirichlet problem for an anisotropic quasilinear elliptic equations of the second order is considered. The upper estimates for the generalized solution of this Dirichlet problem are received, the closeness is proved for the isotropic ...
Larisa Mikhailovna Kozhevnikova   +1 more
doaj   +1 more source

On quasilinear elliptic equations in ℝN

open access: yesAbstract and Applied Analysis, 1996
In this note we give a result for the operator p-Laplacian complementing a theorem by Brézis and Kamin concerning a necessary and sufficient condition for the equation −Δu=h(x)uq in ℝN, where ...
C. O. Alves, J. V. Concalves, L. A. Maia
doaj   +1 more source

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