메뉴 건너뛰기




Volumn 11, Issue 4, 2004, Pages 407-430

Uniqueness of solutions for some nonlinear Dirichlet problems

Author keywords

Entropy solutions; L1 data; Nonlinear elliptic equations; Uniqueness

Indexed keywords


EID: 12744267925     PISSN: 10219722     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00030-004-0031-y     Document Type: Article
Times cited : (21)

References (18)
  • 1
    • 0002433955 scopus 로고
    • Sur une classe de problèmes paraboliques quasi-linéaires
    • M. ARTOLA, Sur une classe de problèmes paraboliques quasi-linéaires, Boll. Un. Mat. Ital. B 5, (6) (1986), 51-70.
    • (1986) Boll. Un. Mat. Ital. B , vol.5 , Issue.6 , pp. 51-70
    • Artola, M.1
  • 2
    • 12744277539 scopus 로고
    • Existence and uniqueness for a diffusion system with coupling. Recent advances in nonlinear elliptic and parabolic problems
    • Nancy, Longman Sci. Tech., Harlow
    • M. ARTOLA, Existence and uniqueness for a diffusion system with coupling. Recent advances in nonlinear elliptic and parabolic problems (Nancy, 1988), 123-138, Pitman Res. Notes Math. Ser. 208, Longman Sci. Tech., Harlow, 1989.
    • (1988) Pitman Res. Notes Math. Ser. , vol.208 , pp. 123-138
    • Artola, M.1
  • 4
    • 12744259594 scopus 로고    scopus 로고
    • Uniqueness of solutions for some nonlinear Dirichlet problems
    • dedicated to M. Artola, to appear
    • L. BOCCARDO, Uniqueness of solutions for some nonlinear Dirichlet problems, dedicated to M. Artola, Proceedings of the Conference held in Bordeaux (1999), to appear.
    • (1999) Proceedings of the Conference Held in Bordeaux
    • Boccardo, L.1
  • 5
    • 0002166508 scopus 로고
    • 1 involving lower order terms in divergence form, Progress in elliptic and parabolic partial differential equations
    • Capri, Longman, Harlow
    • 1 involving lower order terms in divergence form, Progress in elliptic and parabolic partial differential equations (Capri, 1994), 43-57, Pitman Res. Notes Math. Ser. 350, Longman, Harlow, 1996.
    • (1994) Pitman Res. Notes Math. Ser. , vol.350 , pp. 43-57
    • Boccardo, L.1
  • 6
    • 0000622252 scopus 로고
    • Existence of a solution for a weaker form of a nonlinear elliptic equation, Recent advances in nonlinear elliptic and parabolic problems
    • Nancy, Longman
    • L. BOCCARDO, I. DIAZ, D. GIACHETTI, F. MURAT, Existence of a solution for a weaker form of a nonlinear elliptic equation, Recent advances in nonlinear elliptic and parabolic problems (Nancy, 1988), Pitman Res. Notes Math. Ser. 208, pp. 229-246, Longman, 1989.
    • (1988) Pitman Res. Notes Math. Ser. , vol.208 , pp. 229-246
    • Boccardo, L.1    Diaz, I.2    Giachetti, D.3    Murat, F.4
  • 7
    • 0000784413 scopus 로고
    • Unicité de la solution pour des equations elliptiques non linéaires
    • L. BOCCARDO, T. GALLOUËT, F. MURAT, Unicité de la solution pour des equations elliptiques non linéaires; C.R. Acad. Sc. Paris 315 (1992), 1159-1164.
    • (1992) C.R. Acad. Sc. Paris , vol.315 , pp. 1159-1164
    • Boccardo, L.1    Gallouët, T.2    Murat, F.3
  • 8
    • 0030360191 scopus 로고    scopus 로고
    • Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data
    • L. BOCCARDO, T. GALLOUËT, L. ORSINA, Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data, Ann. Inst. H. Poincaré Anal. Non Linéaire 13 (1996), 539-551.
    • (1996) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.13 , pp. 539-551
    • Boccardo, L.1    Gallouët, T.2    Orsina, L.3
  • 10
    • 0000945203 scopus 로고
    • Unicité des solutions du type Kruskov pour des problèmes elliptiques avec de termes de transport non linéaires
    • J. CARRILLO, Unicité des solutions du type Kruskov pour des problèmes elliptiques avec de termes de transport non linéaires, C.R. Acad. Sci. Paris 303, I, 5 (1986), 189-192.
    • (1986) C.R. Acad. Sci. Paris , vol.303 I , Issue.5 , pp. 189-192
    • Carrillo, J.1
  • 11
    • 84974074973 scopus 로고
    • On some elliptic equations involving derivatives of the nonlinearity
    • J. CARRILLO, M. CHIPOT, On some elliptic equations involving derivatives of the nonlinearity, Proc. Roy. Soc. Edinburgh 100 (1985), 281-294.
    • (1985) Proc. Roy. Soc. Edinburgh , vol.100 , pp. 281-294
    • Carrillo, J.1    Chipot, M.2
  • 12
    • 0000268514 scopus 로고
    • Uniqueness results and monotonicity properties for strongly nonlinear elliptic variational inequalities
    • M. CHIPOT, G. MICHAILLE, Uniqueness results and monotonicity properties for strongly nonlinear elliptic variational inequalities, Ann. Sc. Norm. Sup. Pisa 16 (1989), 137-166.
    • (1989) Ann. Sc. Norm. Sup. Pisa , vol.16 , pp. 137-166
    • Chipot, M.1    Michaille, G.2
  • 13
    • 11044237456 scopus 로고    scopus 로고
    • A uniqueness result for quasilinear elliptic equations with measures as data
    • J. DRONIOU, T. GALLOUËT, A uniqueness result for quasilinear elliptic equations with measures as data, Rend. Ital. Appl. 21 (2001), 57-86.
    • (2001) Rend. Ital. Appl. , vol.21 , pp. 57-86
    • Droniou, J.1    Gallouët, T.2
  • 15
    • 0041648104 scopus 로고    scopus 로고
    • Uniqueness and homogenization for a class of operators in divergence form
    • A. PORRETTA, Uniqueness and homogenization for a class of operators in divergence form, Atti Sem. Mat. Fis. Univ. Modena, Supplemento al Volume XLVI (1998), 915-936.
    • (1998) Atti Sem. Mat. Fis. Univ. Modena , vol.SUPPLEMENTO AL VOLUME 46 , pp. 915-936
    • Porretta, A.1
  • 16
    • 0000281633 scopus 로고
    • Pathological solutions of elliptic differential equations
    • J. SERRIN, Pathological solutions of elliptic differential equations, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 18 (1964), 385-387.
    • (1964) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.18 , pp. 385-387
    • Serrin, J.1
  • 17
    • 0000700234 scopus 로고
    • Remarks on existence and uniqueness of solutions of elliptic problems with right hand side measures
    • A. PRIGNET, Remarks on existence and uniqueness of solutions of elliptic problems with right hand side measures, Rend. Mat. 15 (1995), 321-337.
    • (1995) Rend. Mat. , vol.15 , pp. 321-337
    • Prignet, A.1
  • 18
    • 0016369729 scopus 로고
    • On the comparison principle for quasilinear divergence structure equations
    • N. TRUDINGER, On the comparison principle for quasilinear divergence structure equations, Arch. for Rational Mech. Anal. 57 (1975), 128-133.
    • (1975) Arch. for Rational Mech. Anal. , vol.57 , pp. 128-133
    • Trudinger, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.