TY  - JOUR
AU  - Díaz Díaz, Jesús Ildefonso
AU  - Rakotoson, Jean Michel Theresien
PY  - 2010
DO  - 10.3934/dcds.2010.27.1037
SN  - 1553-5231
UR  - https://hdl.handle.net/20.500.14352/42148
T2  - Discrete and Continuous Dynamical Systems. Series A.
AB  - We prove the existence of an appropriate function (very weak solution) u in the Lorentz space L(N') (,infinity)(Omega), N' = (N)(N - 1) satisfying Lu - Vu + g (x, u, del u) = mu in Omega an open bounded set of R(N), and u = 0 on partial derivative...
LA  - spa
M2  - 1037
PB  - American Institute of Mathematical Sciences
KW  - Very weak solutions
KW  - semilinear elliptic equations  distance to the boundary
KW  - weighted spaces measure unbounded potentials
TI  - On very weak solutions of semi-linear elliptic equations in the framework of weighted spaces with respect to the distance to the boundary
TY  - journal article
VL  - 27
ER  -