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

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 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
Articolo in rivista - Articolo scientifico
Critical growth elliptic equations
English
2001
177
2
494
522
none
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/17822
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