Results 81 to 90 of about 1,989 (226)

A Degenerate Neumann Problem for Quasilinear Elliptic Equations

open access: yesTokyo Journal of Mathematics, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Taira, K.   +2 more
openaire   +3 more sources

L^infty-estimates for strong solutions to quasilinear elliptic equations

open access: yes, 1999
By the aid of Aleksandrov–Pucci maximum principle for linear elliptic operators, we derive L∞-a priori estimate and uniqueness for strong solutions to the Dirichlet problem for quasilinear strictly elliptic equations with Carath ́eodory’s coefficients.
SOFTOVA Lyoubomira   +1 more
core  

Dirichlet problems for semilinear elliptic equations with a fast growth coefficient on unbounded domains

open access: yesElectronic Journal of Differential Equations, 2005
When an unbounded domain is inside a slab, existence of a positive solution is proved for the Dirichlet problem of a class of semilinear elliptic equations that are similar either to the singular Emden-Fowler equation or a sublinear elliptic equation ...
Zhiren Jin
doaj  

Quasilinear degenerate elliptic equation with absorption term

open access: yesNonlinear Analysis: Theory, Methods & Applications, 1999
The author studies the Dirichlet problem for \(p\)-harmonic operators \[ L_pu=-\text{div} (A(x)|\nabla u|^{p-2}\nabla u) \] with absorption term \[ L_pu+B(x)Q(u)= f(x)\quad \text{in } \Omega,\qquad u=0\quad \text{on } \partial\Omega. \] Here \(B(x)\) is a nonnegative function on \(\Omega\) and \(Q(t)\) is a continuous and strictly monotone increasing ...
openaire   +3 more sources

A Posteriori Error Analysis of hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic Problems

open access: yes, 2006
We develop the a-posteriori error analysis of hp-version interior-penalty discontinuous Galerkin finite element methods for a class of second-order quasilinear elliptic partial differential equations.
Suli, Endre   +3 more
core  

NODAL SOLUTIONS TO QUASILINEAR ELLIPTIC EQUATIONS ON COMPACT RIEMANNIAN MANIFOLDS

open access: yes, 2010
We show the existence of nodal solutions to perturbed quasilinear elliptic equations with critical Sobolev exponent on compact Riemannian manifolds. A nonexistence result is also given.
MOHAMMED BENALILI
core   +1 more source

Generating Singularities of Solutions of Quasilinear Elliptic Equations

open access: yesJournal of Mathematical Analysis and Applications, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Three nontrivial solutions for the p-Laplacian Neumann problems with a concave nonlinearity near the origin

open access: yes, 2010
We consider a nonlinear Neumann problem driven by the p- Laplacian, with a right-hand side nonlinearity which is concave near the origin. Using variational techniques, combined with the method of upper-lower solutions and with Morse theory, we show ...
Staicu, Vasile   +2 more
core  

Multiple solutions for a quasilinear (p,q)-elliptic system

open access: yesElectronic Journal of Differential Equations, 2013
In this article we show the existence of three weak solutions of a Dirichlet quasilinear elliptic system of differential equations which involves a general (p,q)-elliptic operator in divergence, with ...
Seyyed Mohsen Khalkhali   +1 more
doaj  

Weak solutions of degenerated quasilinear elliptic equations of higher order

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1996
We prove the existence of weak solutions of higher order degenerated quasilinear elliptic equations. The main tools are the degree theory for generalized monotone mappings and imbedding theorems between weighted Sobolev spaces.
Pavel Drábek   +2 more
doaj   +1 more source

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