A semilinear elliptic problem containing both a singularity and a critical growth term is considered in a bounded domain of R-n: existence results are obtained by variational methods. The solvability of the problem depends on the space dimension n and on the coefficient of the singularity the results obtained describe the behavior of critical dimensions and nonresonant dimensions when the Brezis-Nirenberg problem is modified with a singular term
A semilinear elliptic problem containing both a singularity and a critical growth term is considered in a bounded domain of δrn: existence results are obtained by variational methods. The solvability of the problem depends on the space dimension n and on the coefficient of the singularity; the results obtained describe the behavior of critical dimensions and nonresonant dimensions when the Brezis-Nirenberg problem is modified with a singular term. © 2001 Academic Press.
Ferrero, A., Gazzola, F. (2001). Existence of solutions for singular critical growth semilinear elliptic equations. JOURNAL OF DIFFERENTIAL EQUATIONS, 177(2), 494-522 [10.1006/jdeq.2000.3999].
Existence of solutions for singular critical growth semilinear elliptic equations
Ferrero, A;
2001
Abstract
A semilinear elliptic problem containing both a singularity and a critical growth term is considered in a bounded domain of δrn: existence results are obtained by variational methods. The solvability of the problem depends on the space dimension n and on the coefficient of the singularity; the results obtained describe the behavior of critical dimensions and nonresonant dimensions when the Brezis-Nirenberg problem is modified with a singular term. © 2001 Academic Press.
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