On the homogenization of semilinear elliptic operators in perforated domains
Journal Article
·
· Sbornik. Mathematics
- M.V. Lomonosov Moscow State University, Moscow (Russian Federation)
A second-order semilinear elliptic equation whose lower term has power-like growth at infinity with respect to the unknown function is considered. It is proved that a sequence of its solutions in perforated domains converges to a solution in the non-perforated domain as the diameters of the holes converge to zero with a rate depending on the power exponent of the lower term.
- OSTI ID:
- 21205671
- Journal Information:
- Sbornik. Mathematics, Vol. 193, Issue 3; Other Information: DOI: 10.1070/SM2002v193n03ABEH000638; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
Similar Records
Homogenization of a mixed problem with Signorini condition for an elliptic operator in a perforated domain
Infinitely many solutions for indefinite semilinear elliptic equations without symmetry
A two-level stochastic collocation method for semilinear elliptic equations with random coefficients
Journal Article
·
Wed Feb 28 00:00:00 EST 2001
· Sbornik. Mathematics
·
OSTI ID:21205671
Infinitely many solutions for indefinite semilinear elliptic equations without symmetry
Journal Article
·
Tue Dec 31 00:00:00 EST 1996
· Communications in Partial Differential Equations
·
OSTI ID:21205671
A two-level stochastic collocation method for semilinear elliptic equations with random coefficients
Journal Article
·
Mon May 01 00:00:00 EDT 2017
· Journal of Computational and Applied Mathematics
·
OSTI ID:21205671
+1 more