article · Transactions of the American Mathematical Society · 2009
A priori estimates of positive solutions for sublinear elliptic equations
Cited by 7Open access
Abstract
In this paper, a priori estimates of positive solutions for sublinear elliptic equations are given in terms of thicknesses of domains. To this end, a supersolution is constructed by a composite function of a solution to an ordinary differential equation and a distance function. The results work efficiently in the case where the domain is an exterior or an interior of a convex set.
Cite this paper
Kajikiya, R. (2009). A priori estimates of positive solutions for sublinear elliptic equations. Transactions of the American Mathematical Society, 361(7), 3793–3815. https://doi.org/10.1090/s0002-9947-09-04875-2
Kajikiya, Ryuji. “A priori estimates of positive solutions for sublinear elliptic equations.” Transactions of the American Mathematical Society, vol. 361, no. 7, 2009, pp. 3793–815, https://doi.org/10.1090/s0002-9947-09-04875-2.
Kajikiya, Ryuji. 2009. “A priori estimates of positive solutions for sublinear elliptic equations.” Transactions of the American Mathematical Society 361 (7): 3793–815. https://doi.org/10.1090/s0002-9947-09-04875-2.
Kajikiya, R. (2009) ‘A priori estimates of positive solutions for sublinear elliptic equations’, Transactions of the American Mathematical Society, 361(7), pp. 3793–3815. Available at: https://doi.org/10.1090/s0002-9947-09-04875-2.
@article{kajikiya2009priori,
title = {{A priori estimates of positive solutions for sublinear elliptic equations}},
author = {Kajikiya, Ryuji},
journal = {Transactions of the American Mathematical Society},
volume = {361},
number = {7},
pages = {3793--3815},
year = {2009},
doi = {10.1090/s0002-9947-09-04875-2}
}Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.