Bounded Solutions of Elliptic BVPs in Exterior Domain

REFERENCES

• A. Baalal and N. B. Rhouma ( 2002 ). Dirichlet problem for quasi-linear elliptic equations . Electronic J. Differential Equations 2002 ( 82 ): 1 – 18 .
   Google Scholar
• A. Benkirane and A. Elmahi ( 2000 ). A strongly nonlinear elliptic equation having natural growth terms and L 1 data . Nonlinear Anal. 39 ( 4 ): 403 – 411 . [CSA] [CROSSREF]
   Google Scholar
• C. Ebmeyer and J. Frehse ( 2001 ). Mixed boundary value problems for nonlinear elliptic equations with p-structure in nonsmooth domains . Differential Integral Equations 14 ( 7 ): 801 – 820 . [CSA]
   Google Scholar
• N. Grenon ( 2001 ). Existence and comparison results for quasilinear elliptic equations with critical growth in the gradient . J. Differential Equations 171 ( 1 ): 1 – 23 . [CSA] [CROSSREF]
   Google Scholar
• D. Gilbarg and N. S. Trudinger ( 1983 ). Elliptic Partial Differential Equations of Second Order . New York : Springer-Verlag .
   Google Scholar
• K. S. Ha and Y. H. Lee ( 1997 ). Existence of multiple positive solutions of singular boundary value problems . Nonlinear Analysis T.M.A. 28 ( 8 ): 1429 – 1438 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Y. H. Lee ( 2000 ). Eigenvalues of singular boundary value problems and existence results for positive radial solutions of semilinear elliptic problems in exterior domains . Differential and Integral Equations 13 ( 4-6 ): 631 – 648 . [CSA]
   Google Scholar
• R. Molle and D. Passaseo ( 2000 ). Multiple solutions of nonlinear elliptic Dirichlet problems in exterior domains . Nonlinear Analysis 39 : 447 – 462 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• E. S. Noussair ( 1981 ). On semilinear elliptic boundary value problems in unbounded domain . J. Differential Equations 41 ( 3 ): 334 – 348 . [CSA] [CROSSREF]
   Google Scholar
• E. S. Noussair and C. A. Swanson ( 1984 ). Global positive solutions of semilinear elliptic problems . Pacific. J. Math. 115 ( 1 ): 117 – 192 . [CSA]
   Google Scholar
• E. S. Noussair and C. A. Swanson ( 1987 ). Semilinear elliptic problems with pairs of decaying positive solutions . Can. J. Math. 39 ( 5 ): 1162 – 1173 . [CSA]
   Google Scholar
• E. S. Noussair and C. A. Swanson ( 1988 ). Positive solutions of elliptic systems with bounded nonlinearities . Proc. Soc. Edinburgh Sect. 108 ( 3-4 ): 321 – 332 . [CSA]
   Google Scholar
• A. Ogata ( 1974 ). On bounded positive solutions of nonlinear elliptic boundary value problems in an exterior domains . Funcial. Ekvac. 17 : 207 – 222 . [CSA]
   Google Scholar
• A. Orpel ( 2004 ). On the existence of positive solutions and their continuous dependence on functional parameters for some class of elliptic problems . J. Differential Equations 204 : 247 – 264 . [CSA]
   Google Scholar
• B. Przeradzki and R. Stańczy ( 2002 ). Positive solutions for sublinear elliptic equations . Colloq. Math. 92 ( 1 ): 141 – 151 . [CSA]
   Google Scholar
• J. Santanilla ( 1991 ). Existence and nonexistence of positive radial solutions for some semilinear elliptic problems in annular domains . Nonlinear Analysis T.M.A. 16 : 861 – 879 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• J. Santanilla ( 1995 ). Existence and nonexistence of positive radial solutions of an elliptic Dirichlet problem in an exterior domain . Nonlinear Analysis T.M.A. 25 : 1391 – 1399 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• R. Stańczy ( 2000 ). Bounded solutions for nonlinear elliptic equations in unbounded domains . J. Applied Analysis 6 ( 1 ): 129 – 138 . [CSA]
   Google Scholar
• R. Stańczy ( 2003 ). Positive solutions for superlinear elliptic equations . Math. Anal. Appl. 283 : 159 – 166 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar