Results 281 to 290 of about 581,251 (325)

Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

, 1983
H. Brezis, L. Nirenberg
semanticscholar   +1 more source

Nonnegative Solutions for Weakly Nonlinear Elliptic Equations

Canadian Journal of Mathematics, 1984
Let x = (x1, … xn) denote a point of Euclidean n space En and set Di = ∂/∂xi for i = 1, … n. Let Ω denote an exterior domain in En with smooth boundary and consider in Ω the formal elliptic problem:1We first consider the problem of finding nonnegative generalized solutions of (1) when τ ≧ 0, τ ≢ 0, and r(x) ≡ 0.
openaire   +1 more source

Global and local behavior of positive solutions of nonlinear elliptic equations

, 1981
B. Gidas, J. Spruck
semanticscholar   +1 more source

Nonlinear Elliptic Partial Differential Equations

2017
In Chap. 5, we explained how to apply the finite element method to nonlinear ordinary differential equations. We saw that calculating the finite element solution of nonlinear differential equations required us to solve a nonlinear system of algebraic equations and discussed how these algebraic equations could be solved.
openaire   +1 more source

Nonlinear Elliptic Equations with Nonlinear Boundary Conditions

1976
Publisher Summary This chapter focuses on nonlinear elliptic equations with nonlinear boundary conditions, and discusses mildly nonlinear elliptic boundary value problems (BVPs). For the study of the stability of the solutions of the parabolic initial-boundary value problem, one has to have a good knowledge of the steady states, that is, of the ...
openaire   +1 more source

Lp(⋅),λ(⋅) regularity for fully nonlinear elliptic equations

, 2017

semanticscholar   +1 more source

Nonlinear elliptic equations with variable exponent: Old and new

, 2015
Vicentiu D. Rădulescu
semanticscholar   +1 more source

Phragmèn-Lindelöf principles for nonlinear elliptic equations

2009
This paper contains Phragmèn-Lindelöf type results for viscosity solutions of fully nonlinear second-order uniformly elliptic equations with superlinear gradient term in a wide class of unbounded domains. Under suitable assumptions on the coefficients, as classically, we show that the Maximum Principle holds in a generalized version of cylindrical ...
Maria E. AMENDOLA, Luca ROSSI, VITOLO, Antonio   +2 more
openaire   +2 more sources

Nonlinear Elliptic Equations of the Second Order

, 2016
Qing Han
semanticscholar   +1 more source

Growth conditions and regularity for weak solutions to nonlinear elliptic pdes

Journal of Mathematical Analysis and Applications, 2021
Paolo Marcellini
exaly