Results 1 to 10 of about 273 (186)
Regularity Results for Quasilinear Elliptic Equations in the Plane [PDF]
Journal of Elliptic and Parabolic Equations, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
De Cave, Linda Maria +2 more
openaire +2 more sources
Boundary 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
Advances 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
Quasilinear Elliptic Equations with Singular Nonlinearity
Advanced Nonlinear Studies, 2016 Abstract In this paper, motivated by recent works on the study of the equations which model electrostatic MEMS devices, we study the quasilinear elliptic equation (Pλ) {
João Marcos do Ó, Esteban da Silva
openaire +2 more sources
On singular quasilinear elliptic equations with data measures
Advances in Nonlinear Analysis, 2021 The aim of this work is to study a quasilinear elliptic equation with singular nonlinearity and data measure. Existence and non-existence results are obtained under necessary or sufficient conditions on the data, where the main ingredient is the ...
Alaa Nour Eddine +2 more
doaj +1 more source
CONCAVITY, QUASICONCAVITY, AND QUASILINEAR ELLIPTIC EQUATIONS [PDF]
Taiwanese Journal of Mathematics, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
Symmetry of Ground States of Quasilinear Elliptic Equations [PDF]
Archive for Rational Mechanics and Analysis, 1999 The famous Gidas-Ni-Nirenberg result asserting the radial symmetry of nonnegative solutions of certain semilinear elliptic problems is generalized to quasilinear elliptic equations of the form \[ \nabla\cdot[A(\left|\nabla u\right|)]+f(u)=0\quad \text{on }\mathbb R^n \] subject to the limit condition \(u(x)\to 0\) as \(\left|x\right|\to 0\).
Serrin, James, Zou, Henghui
openaire +2 more sources
On some properties of a system of nonlinear partial functional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We consider a system of a semilinear hyperbolic functional differential equation (where the lower order terms contain functional dependence on the unknown function) with initial and boundary conditions and a quasilinear elliptic functional differential ...
László Simon
doaj +1 more source
An Eigenvalue Problem for a Quasilinear Elliptic Field Equation
Journal of Differential Equations, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BENCI, VIERI +2 more
openaire +4 more sources
Advances in Difference Equations, 2019 In this paper, we suggest a new exponential implicit method based on full step discretization of order four for the solution of quasilinear elliptic partial differential equation of the form A(x,y,z)zxx+C(x,y,z)zyy=k(x,y,z,zx,zy) $A ( x,y,z ) z_{xx} +C (
R. K. Mohanty +2 more
doaj +1 more source