Higher order nonlinear partial differential equations in unbounded domains of 𝐑 n

Daniela Giachetti; Elvira Mascolo; Rosanna Schianchi

Commentationes Mathematicae Universitatis Carolinae (1979)

  • Volume: 020, Issue: 3, page 583-595
  • ISSN: 0010-2628

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Giachetti, Daniela, Mascolo, Elvira, and Schianchi, Rosanna. "Higher order nonlinear partial differential equations in unbounded domains of ${\bf R}^n$." Commentationes Mathematicae Universitatis Carolinae 020.3 (1979): 583-595. <http://eudml.org/doc/16995>.

@article{Giachetti1979,
author = {Giachetti, Daniela, Mascolo, Elvira, Schianchi, Rosanna},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Caratheodory conditions; polynomial growth; weighted Sobolev spaces; coercivity condition; continuous and compact imbedding theorems for unbounded domains; asymptotic behaviour; monotone operators},
language = {eng},
number = {3},
pages = {583-595},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Higher order nonlinear partial differential equations in unbounded domains of $\{\bf R\}^n$},
url = {http://eudml.org/doc/16995},
volume = {020},
year = {1979},
}

TY - JOUR
AU - Giachetti, Daniela
AU - Mascolo, Elvira
AU - Schianchi, Rosanna
TI - Higher order nonlinear partial differential equations in unbounded domains of ${\bf R}^n$
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1979
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 020
IS - 3
SP - 583
EP - 595
LA - eng
KW - Caratheodory conditions; polynomial growth; weighted Sobolev spaces; coercivity condition; continuous and compact imbedding theorems for unbounded domains; asymptotic behaviour; monotone operators
UR - http://eudml.org/doc/16995
ER -

References

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  2. V. BENCI D. FORTUNATO, Some compact imbedding theorems for weighted Sobolev spacea, Boll. Un. Math. Ital. 14-B (1976), 832-843. (1976) MR0435825
  3. V. BENCI D. FORTUNATO, Some nonlinear problems with asymptotic conditions, to appear in Nonlinear Analysis theory methods and applications. MR0525969
  4. M. S. BERGER M. SCHECHTER, Embedding theorems and quasi-linear elliptic boundary value problems for unbounded domains, Trans. of the Amer. Math. Soc. 172, pp. 261-278 (1972). (1972) MR0312241
  5. H. BREZIS, Equations et inéquations nonlinéaires dans les espaces vectoriels en dualité, Ann. Inst. Fourier, Grenoble 18, pp. 115-175 (1968). (1968) MR0270222
  6. H. BREZIS G. STAMPACCHIA, Sur la гegularité de la solution d'inéquations elliptiques, Bull. Soc. Math. Fгance 96 (1968). (1968) MR0239302
  7. F. BROWDER, Existence theorems for nonlinear partial differential equations, Proc. of Symposia in pure Math., Global Analysis vol. XVI, pp. 1-60 (1970). (1970) Zbl0211.17204MR0269962
  8. D. E. EDMUNDS W. D. EVANS, Elliptic and degenerate-elliptic opeгators in unbounded domains, Ann. Sc. Nor. Sup. Pisa Cl. Sci. 27 (1973), 591-640. (1973) MR0380094
  9. D. E. EDMUNDS J. R. L. WEBB, Quasilinear elliptic pгoblems in unbounded domains, Proc. Royal Soc. London A 334 (1973), 397-410. (1973) MR0387809
  10. D. GIACHETTI E. MASCOLO, Problemi quasi ellittici in spazi di Sobolev con peso, to appear in Rend. Acc. Naz. dei Lincei, Cl. Sc. Fis. Mat. Nat. vol. LXIII, 5 (1977). (1977) MR0548602
  11. P. HESS, Nonlinear elliptic problems in unbounded domains, conference held at Int. Summer School on nonlinear Operators Berlin (G. D. R.), Sept. 1975. (1975) 
  12. P. HESS, Problèmes aux limites nonlinéaires dans des domaines non bornés, C.R. Ac. Sc. Paris, t. 281, Série A (Oct. 6, 1975). (1975) MR0390495
  13. J. NEČAS, Les équations elliptiques non linéaires, Czechoslovak Math. Journal 19 (94) (1968), 252-274. (1968) MR0252829
  14. R. SCHIANCHI, Spazi dissimetrici e con peso, Rend. Acc. Sc. Pis. Mat. Serie IV, vol. XLII (1975), 1-40. (1975) 
  15. R. SCHIANCHI, Spazi dissimetrici e con peso e applicazioni ai problemi quasi ellittici non lineari, to appear in Le Matematiche (Catania). 
  16. M. M. VAINBERG, Variational methods for the study of nonlinear operator, Holden-Day Inc. (1964). (1964) MR0176364

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