Existence of solutions in weighted Sobolev spaces for some degenerate semilinear elliptic equations. (English) Zbl 1133.35351

Summary: We study existence of solutions to a class of semilinear degenerate elliptic equations in weighted Sobolev spaces.


35J60 Nonlinear elliptic equations
35J70 Degenerate elliptic equations
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[1] Heinonen, J; Kilpeläinen, T; Martio, O, Nonlinear potential theory of degenerate elliptic equations, () · Zbl 0776.31007
[2] Garcia-Cuerva, J; de Francia, J.L.Rubio, ()
[3] Piat, V.Chiadò; Cassano, F.Serra, Relaxation of degenerate variational integrals, Nonlinear anal., 22, 409-429, (1994) · Zbl 0799.49012
[4] Franchi, B; Serapioni, R, Pointwise estimates for a class of strongly degenerate elliptic operators: A geometrical approach, Ann. scuola norm. sup. Pisa, 14, 527-568, (1987) · Zbl 0685.35046
[5] Hess, P, On the Fredholm alternative for nonlinear functional equations in Banach spaces, (), 55-61 · Zbl 0249.47064
[6] Zeidler, E, ()
[7] Zeidler, E, ()
[8] Zeidler, E, ()
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