Boundary blow-up solutions for a class of quasilinear elliptic equations

References

• Astrita , G and Marrucci , G . 1974 . Principles of Non-Newtonian Fluid Mechanics , New York : McGraw-Hill .
   Google Scholar
• Martinson , LK and Pavlov , KB . 1971 . Unsteady shear flows of a conducting fluid with a rheological power law . Magnitnaya Gidrodinamika , 2 : 50 – 58 .
   Google Scholar
• Esteban , JR and Vazquez , JL . 1982 . On the equation of turbulent filtration in one-dimensional porous media . Nonlinear Anal. , 10 : 1303 – 1325 .
   Web of Science ®Google Scholar
• Lair , AV . 1999 . A necessary and sufficient condition for existence of large solutions to semilinear elliptic equations . J. Math. Anal. Appl. , 240 : 205 – 218 .
   Web of Science ®Google Scholar
• Cirstea , F and Radulescu , V . 2002 . Blow-up boundary solutions of semilinear elliptic problems . Nonlinear Anal. , 48 : 521 – 534 .
   Google Scholar
• Cirstea , F and Radulescu , V . 2003 . Solutions with boundary blow-up for a class of nonlinear elliptic problems . Houston J. Math. , 29 : 821 – 829 .
   Web of Science ®Google Scholar
• Lazer , AC and McKenna , PJ . 1996 . On singular boundary value problems for the Monge-Ampere . J. Math. Anal. Appl. , 197 : 341 – 362 .
   Web of Science ®Google Scholar
• Haitao , Y . 2006 . Existence and nonexistence of blow-up boundary solutions for sublinear equations . J. Math. Anal. Appl. , 314 : 85 – 96 .
   Google Scholar
• Bandle , C and Giarrusso , E . 1996 . Boundary blow-up for semilinear elliptic equations with nonlinear gradient terms . Adv. Diff. Eq. , 1 : 133 – 150 .
   Google Scholar
• Lair , AV and Shaker , AW . 1999 . Large solutions of semilinear elliptic equations with nonlinear gradient terms . Int. Math. Math. Sci. , 22 : 869 – 883 .
   Google Scholar
• Concalves , JV and Roncalli , Angelo . 2006 . Boundary blow-up solutions for a class of elliptic equations on a bounded domain . Appl. Math. Comput. , 182 : 13 – 23 .
   Google Scholar
• Guo , ZM . 1992 . Some existence and multiplicity results for a class of quasilinear elliptic eigenvalue problems . Nonlinear Anal. , 18 : 957 – 971 .
   Web of Science ®Google Scholar
• Yang , Z . 2006 . On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations . Int. Math. Math. Sci. , 2006 : 1 – 19 .
   Google Scholar
• Yang , Z . 2006 . Existence of explosive positive solutions of quasilinear elliptic equations . Appl. Math. Comput. , 177 : 581 – 588 .
   Web of Science ®Google Scholar
• Guo , ZM . 1996 . On the number of positive solutions for quasilinear elliptic eigenvalue problems . Nonlinear Anal. , 27 ( 2 ) : 229 – 247 .
   Web of Science ®Google Scholar
• Guo , ZM . 1992 . Existence and uniqueness of positive radial solutions for a class of quasilinear elliptic equations . Appl. Anal. , 47 : 173 – 190 .
   Google Scholar
• Guo , ZM . 1993 . Boundary value problems of a class of quasilinear ordinary differential equations . Diff. Integ. Eqn. , 6 ( 3 ) : 705 – 719 .
   Google Scholar
• Yang , Z . 2003 . Existence of entire explosive positive radial solutions for a class of quasilinear elliptic systems . J. Math. Anal. Appl. , 288 : 768 – 783 .
   Web of Science ®Google Scholar
• Yang , Z and Lu , QS . 2003 . Blow-up estimates for a quasilinear reaction-diffusion system . Math. Methods in the Appl. Sci. , 26 : 1005 – 1023 .
   Google Scholar
• Yang , Z and Lu , QS . 2003 . Nonexistence of positive solutions to a quasilinear elliptic system and blow-up estimates for a quasilinear reaction-diffusion system . J. Comput. Appl. Math. , 50 : 37 – 56 .
   Google Scholar
• Yang , Z . 2006 . Existence of positive entire solutions for singular and non-singular quasi-linear elliptic equation . J. Comput. Appl. Math. , 197 : 355 – 364 .
   Web of Science ®Google Scholar
• Liu , CL and Yang , Z . 2007 . Existence of large solutions for quasilinear elliptic problems with a gradient term . Appl. Math. Comput. , 192 : 533 – 545 .
   Google Scholar
• Miao , Q and Yang , Z . 2008 . Bounded positive entire solutions of singular p-Laplacian equations . Nonlinear Anal. , 69 : 3749 – 3760 .
   Google Scholar