A variational approach to singular quasilinear elliptic problems with sign changing nonlinearities

We obtain positive solutions of singular p-Laplacian problems with sign changing nonlinearities using variational methods.

[1]  Manuel del Pino,et al.  A global estimate for the gradient in a singular elliptic boundary value problem , 1992, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

[2]  Alan C. Lazer,et al.  On a singular nonlinear elliptic boundary-value problem , 1991 .

[3]  A. U.S..  On a singular nonlinear semilinear elliptic problem , 1998 .

[4]  Juan Luis Vázquez,et al.  A Strong Maximum Principle for some quasilinear elliptic equations , 1984 .

[5]  D. O’Regan,et al.  Singular initial and boundary value problems with sign changing nonlinearities , 2000 .

[6]  Ravi P. Agarwal,et al.  Existence theorems for the one-dimensional singular p--Laplacian equation with sign changing nonlinearities , 2003, Appl. Math. Comput..

[7]  Michael Wiegner,et al.  A degenerate diffusion equation with a nonlinear source term , 1997 .

[8]  Y. Long,et al.  Combined Effects of Singular and Superlinear Nonlinearities in Some Singular Boundary Value Problems , 2001 .

[9]  L. Véron,et al.  Quasilinear elliptic equations involving critical Sobolev exponents , 1989 .

[10]  A. Edelson.  Entire solutions of singular elliptic equations , 1989 .

[11]  Gary M. Lieberman,et al.  Boundary regularity for solutions of degenerate elliptic equations , 1988 .

[12]  A. W. Shaker.  On Singular Semilinear Elliptic Equations , 1991 .

[13]  K. Perera,et al.  Multiple positive solutions of singular-Laplacian problems by variational methods , 2005 .

[14]  C. Swanson,et al.  Entire positive solutions of singular semilinear elliptic equations , 1985 .

[15]  Alan V. Lair,et al.  Classical and Weak Solutions of a Singular Semilinear Elliptic Problem , 1997 .

[16]  M. M. Coclite,et al.  On a singular nonlinear dirichlet problem , 1989 .

[17]  Zhijun Zhang,et al.  On a Dirichlet Problem with a Singular Nonlinearity , 1995 .

[18]  Jesús Ildefonso Díaz Díaz,et al.  An elliptic equation with singular nonlinearity , 1987 .

[19]  Zhitao Zhang.  Critical points and positive solutions of singular elliptic boundary value problems , 2005 .