A semilinear problem with a \(W^{1,1}_0\) solution. (English) Zbl 1247.35037
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 23, No. 2, 97-103 (2012).
The authors study a degenerate elliptic equation, proving the existence of a \(W^{1,1}_0\) distributional solution.
Reviewer: Jiaqi Mo (Wuhu)
MSC:
| 35J61 | Semilinear elliptic equations |
| 35J70 | Degenerate elliptic equations |
| 35J75 | Singular elliptic equations |
References:
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| [2] | L. Boccardo - H. Brezis: Some remarks on a class of elliptic equations, Boll. Unione Mat. Ital. 6 (2003), 521-530. · Zbl 1178.35183 |
| [3] | L. Boccardo - G. Croce - L. Orsina: Nonlinear degenerate elliptic problems with W 1; 1 solutions, Manuscripta Mathematica 137 (2012), 419-439. 0 103 0 · Zbl 1237.35073 · doi:10.1007/s00229-011-0473-6 |
| [4] | L. Boccardo - A. Dall’Aglio - L. Orsina: Existence and regularity results for some elliptic equations with degenerate coercivity, dedicated to Prof. C. Vinti (Perugia, 1996), Atti Sem. Mat. Fis. Univ. Modena 46 (1998), 51-81. · Zbl 0911.35049 |
| [5] | G. Croce: The regularizing e\?ects of some lower order terms in an elliptic equation with degenerate coercivity, Rendiconti di Matematica 27 (2007), 299-314. · Zbl 1147.35043 |
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