Renormalized solutions to elliptic equations with measure data in unbounded domains
โ Scribed by Annalisa Malusa; Maria Michaela Porzio
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 397 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We prove the existence and uniqueness of a renormalized solution to nonlinear elliptic equations with variable exponents and L 1 -data. The functional setting involves Sobolev spaces with variable exponents W 1,p(โข) (โฆ).
In this paper we study an elliptic linear operator in weighted Sobolev spaces and show existence and uniqueness theorems for the Dirichlet problem when the coefficients are given in suitable spaces of Morrey type, improving the previous results known in the literature.
In this paper, we study the existence of positive solutions to nonlinear elliptic boundary value problems on unbounded domains ! โ R n with cylindrical ends for a general nonlinear term f(u) including f(u) = u p + ; 1 ยก p ยก (n + 2)=(n -2)(n ยฟ 3); + โ (n = 2) as a typical example: by using the mount
In this paper we study polynomial Dirac equation p(D)f = 0 including (D-k)f = 0 with complex parameter k and D k f = 0(k โฅ 1) as special cases over unbounded subdomains of R n+1 . Using the Clifford calculus, we obtain the integral representation theorems for solutions to the equations satisfying ce