메뉴 건너뛰기




Volumn 9, Issue 3-4, 2004, Pages 329-351

Local estimates and large solutions for some elliptic equations with absorption

Author keywords

[No Author keywords available]

Indexed keywords


EID: 85017407435     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (18)

References (25)
  • 1
    • 0001254568 scopus 로고    scopus 로고
    • Boundary blow-up for semilinear elliptic equations with nonlinear gradient terms
    • C. Bandle and E. Giarrusso, Boundary blow-up for semilinear elliptic equations with nonlinear gradient terms, Adv. Diff. Equat., 1 (1996), 133-150.
    • (1996) Adv. Diff. Equat , vol.1 , pp. 133-150
    • Bandle, C.1    Giarrusso, E.2
  • 2
    • 51249162198 scopus 로고
    • Large solutions of semilinear elliptic equations: existence uniqueness and asymptotic behavior
    • C. Bandle and M. Marcus, Large solutions of semilinear elliptic equations: existence, uniqueness and asymptotic behavior, J. Anal. Math., 58 (1992), 9-24.
    • (1992) J. Anal. Math , vol.58 , pp. 9-24
    • Bandle, C.1    Marcus, M.2
  • 3
    • 85012300552 scopus 로고
    • Asymptotic behaviour of solutions and their derivatives, for semilinear elliptic problems with blowup on the boundary
    • C. Bandle and M. Marcus, Asymptotic behaviour of solutions and their derivatives, for semilinear elliptic problems with blowup on the boundary, Ann. Inst. H. Poincaré Anal. Non Linéaire, 12 (1995), 155-171.
    • (1995) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.12 , pp. 155-171
    • Bandle, C.1    Marcus, M.2
  • 4
    • 0009339832 scopus 로고
    • Nonlinear elliptic equations in RN without growth conditions on the data
    • L. Boccardo, T. Gallouët, and J.L. Vazquez, Nonlinear elliptic equations in RN without growth conditions on the data, J. Diff. Eq., 105 (1993), 334-363.
    • (1993) J. Diff. Eq , vol.105 , pp. 334-363
    • Boccardo, L.1    Gallouët, T.2    Vazquez, J.L.3
  • 5
    • 0001499310 scopus 로고
    • ∞ estimate for some nonlinear elliptic partial differential equations and application to an existence result
    • ∞ estimate for some nonlinear elliptic partial differential equations and application to an existence result, SIAM J. Math. Anal., 23 (1992), 326-333.
    • (1992) SIAM J. Math. Anal , vol.23 , pp. 326-333
    • Boccardo, L.1    Murat, F.2    Puel, J.P.3
  • 6
    • 0000447574 scopus 로고
    • Semilinear equations in RN without condition at infinity
    • H. Brezis, Semilinear equations in RN without condition at infinity, Appl. Math. Optim., 12 (1984), 271-282.
    • (1984) Appl. Math. Optim , vol.12 , pp. 271-282
    • Brezis, H.1
  • 7
    • 51249166472 scopus 로고
    • Sublinear elliptic equations in RN
    • H. Brezis and S. Kamin, Sublinear elliptic equations in RN, Manuscripta Math., 74 (1992), 87-106.
    • (1992) Manuscripta Math , vol.74 , pp. 87-106
    • Brezis, H.1    Kamin, S.2
  • 8
    • 0012499482 scopus 로고    scopus 로고
    • Removable singularities for nonlinear elliptic equations
    • H. Brezis and L. Nirenberg, Removable singularities for nonlinear elliptic equations, Topol. Methods Nonlinear Anal., 9 (1997), 201-219.
    • (1997) Topol. Methods Nonlinear Anal , vol.9 , pp. 201-219
    • Brezis, H.1    Nirenberg, L.2
  • 9
    • 46149141759 scopus 로고
    • Remarks on sublinear elliptic equations
    • H. Brezis and L. Oswald, Remarks on sublinear elliptic equations, Nonlin. Anal., 10 (1986), 55-64.
    • (1986) Nonlin. Anal , vol.10 , pp. 55-64
    • Brezis, H.1    Oswald, L.2
  • 10
    • 84863910600 scopus 로고
    • On a Dirichlet problem with a singular nonlinearity
    • M. Crandall, P. Rabinowitz, and L. Tartar, On a Dirichlet problem with a singular nonlinearity, Comm. P.D.E., 2 (1977), 193-222.
    • (1977) Comm. P.D.E , vol.2 , pp. 193-222
    • Crandall, M.1    Rabinowitz, P.2    Tartar, L.3
  • 11
    • 33749387546 scopus 로고
    • Local estimates: uniqueness of solutions to some nonlinear elliptic equations
    • G. Diaz and R. Letelier, Local estimates: uniqueness of solutions to some nonlinear elliptic equations, Rev. Real Acad. Cienc. Exact. Fis. Natur. Madrid, 88 (1994), 171-186.
    • (1994) Rev. Real Acad. Cienc. Exact. Fis. Natur. Madrid , vol.88 , pp. 171-186
    • Diaz, G.1    Letelier, R.2
  • 12
    • 38249004847 scopus 로고
    • Explosive solutions of quasilinear elliptic equations: existence and uniqueness
    • G. Diaz and R. Letelier, Explosive solutions of quasilinear elliptic equations: existence and uniqueness, Nonlinear Anal., 20 (1993), 97-125.
    • (1993) Nonlinear Anal , vol.20 , pp. 97-125
    • Diaz, G.1    Letelier, R.2
  • 14
    • 0036674209 scopus 로고    scopus 로고
    • Explosive solutions of elliptic equations with absorption and non-linear gradient term
    • M. Ghergu, C. Niculescu, and V. Radulescu, Explosive solutions of elliptic equations with absorption and non-linear gradient term, Proc. Indian Acad. Sci. Math. Sci., 112 (2002), 441-451.
    • (2002) Proc. Indian Acad. Sci. Math. Sci , vol.112 , pp. 441-451
    • Ghergu, M.1    Niculescu, C.2    Radulescu, V.3
  • 16
    • 84980083679 scopus 로고
    • On solutions of Δu = f(u)
    • J.B. Keller, On solutions of Δu = f(u), Commun. Pure Appl. Math., 10 (1957), 503-510.
    • (1957) Commun. Pure Appl. Math , vol.10 , pp. 503-510
    • Keller, J.B.1
  • 17
    • 0000104617 scopus 로고
    • Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints. I. The model problem
    • J.-M.Lasry and P.-L. Lions, Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints. I. The model problem, Math. Ann., 283 (1989), 583-630.
    • (1989) Math. Ann , vol.283 , pp. 583-630
    • Lasry, J.-M.1    Lions, P.-L.2
  • 18
    • 33645129142 scopus 로고    scopus 로고
    • Nonlinear elliptic equations in RN with "absorbing" zero order terms
    • F. Leoni, Nonlinear elliptic equations in RN with "absorbing" zero order terms, Adv. Differential Equations, 5 (2000), 681-722.
    • (2000) Adv. Differential Equations , vol.5 , pp. 681-722
    • Leoni, F.1
  • 20
    • 0000787062 scopus 로고    scopus 로고
    • Uniqueness and asymptotic behaviour of solutions with boundary blow-up for a class of nonlinear elliptic equations
    • M. Marcus and L. Veron, Uniqueness and asymptotic behaviour of solutions with boundary blow-up for a class of nonlinear elliptic equations, Ann. Inst. H. Poincaré, 14 (1997), 237-274.
    • (1997) Ann. Inst. H. Poincaré , vol.14 , pp. 237-274
    • Marcus, M.1    Veron, L.2
  • 21
    • 1642291212 scopus 로고    scopus 로고
    • Existence and uniqueness results for large solutions of general nonlinear elliptic equations
    • M. Marcus and L. Veron, Existence and uniqueness results for large solutions of general nonlinear elliptic equations, J. Evolution Eq., 3 (2003).
    • (2003) J. Evolution Eq , vol.3
    • Marcus, M.1    Veron, L.2
  • 22
    • 23044525883 scopus 로고    scopus 로고
    • Strong stability results for nonlinear elliptic equations with respect to very singular perturbation of the data
    • L. Orsina and A. Porretta, Strong stability results for nonlinear elliptic equations with respect to very singular perturbation of the data, Commun. Contemp. Math., 3 (2001), 259-285.
    • (2001) Commun. Contemp. Math , vol.3 , pp. 259-285
    • Orsina, L.1    Porretta, A.2
  • 23
    • 84972521660 scopus 로고
    • On the inequality Δu ≥ f(u)
    • R. Osserman, On the inequality Δu ≥ f(u), Pacific J. Math., 7 (1957), 1641-1647.
    • (1957) Pacific J. Math , vol.7 , pp. 1641-1647
    • Osserman, R.1
  • 24
    • 0038053081 scopus 로고    scopus 로고
    • Uniqueness of solutions of some elliptic equations without condition at infinity
    • A. Porretta, Uniqueness of solutions of some elliptic equations without condition at infinity, C. R. Acad. Sci. Paris, Ser. I, 335 (2002), 1-6.
    • (2002) C. R. Acad. Sci. Paris, Ser. I , vol.335 , pp. 1-6
    • Porretta, A.1
  • 25
    • 51249166082 scopus 로고
    • Semilinear elliptic equations with uniform blow-up on the boundary
    • L. Veron, Semilinear elliptic equations with uniform blow-up on the boundary, J. Analyse Math., 59 (1992), 231-250.
    • (1992) J. Analyse Math , vol.59 , pp. 231-250
    • Veron, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.