Uniqueness of solutions for some degenerate nonlinear elliptic equations

Albo Carlos Cavalheiro

Applicationes Mathematicae (2014)

  • Volume: 41, Issue: 1, page 93-106
  • ISSN: 1233-7234

Abstract

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We investigate the existence and uniqueness of solutions to the Dirichlet problem for a degenerate nonlinear elliptic equation - i , j = 1 n D j ( a i j ( x ) D i u ( x ) ) + b ( x ) u ( x ) + d i v ( Φ ( u ( x ) ) ) = g ( x ) - j = 1 n f j ( x ) on Ω in the setting of the space H₀(Ω).

How to cite

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Albo Carlos Cavalheiro. "Uniqueness of solutions for some degenerate nonlinear elliptic equations." Applicationes Mathematicae 41.1 (2014): 93-106. <http://eudml.org/doc/279988>.

@article{AlboCarlosCavalheiro2014,
abstract = {We investigate the existence and uniqueness of solutions to the Dirichlet problem for a degenerate nonlinear elliptic equation $-∑_\{i,j=1\}^n D_j(a_\{ij\}(x)D_i u(x)) + b(x)u(x) + div(Φ(u(x))) = g(x) - ∑_\{j=1\}^n f_j(x)$ on Ω in the setting of the space H₀(Ω).},
author = {Albo Carlos Cavalheiro},
journal = {Applicationes Mathematicae},
keywords = {degenerate nonlinear elliptic equations; weighted Sobolev spaces},
language = {eng},
number = {1},
pages = {93-106},
title = {Uniqueness of solutions for some degenerate nonlinear elliptic equations},
url = {http://eudml.org/doc/279988},
volume = {41},
year = {2014},
}

TY - JOUR
AU - Albo Carlos Cavalheiro
TI - Uniqueness of solutions for some degenerate nonlinear elliptic equations
JO - Applicationes Mathematicae
PY - 2014
VL - 41
IS - 1
SP - 93
EP - 106
AB - We investigate the existence and uniqueness of solutions to the Dirichlet problem for a degenerate nonlinear elliptic equation $-∑_{i,j=1}^n D_j(a_{ij}(x)D_i u(x)) + b(x)u(x) + div(Φ(u(x))) = g(x) - ∑_{j=1}^n f_j(x)$ on Ω in the setting of the space H₀(Ω).
LA - eng
KW - degenerate nonlinear elliptic equations; weighted Sobolev spaces
UR - http://eudml.org/doc/279988
ER -

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