Navegar

Colección

Datos Estadísticas

Artículo

Estamos trabajando para incorporar este artículo al repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

This work is devoted to study the existence of solutions to equations of the pLaplacian type in unbounded domains. We prove the existence of at least one solution, and under further assumptions, the existence of infinitely many solutions. We apply the mountain pass theorem in weighted Sobolev spaces.

Registro:

Documento: Artículo
Título:Equations of p-laplacian type in unbounded domains
Autor:De Nápoli, P.L.; Cristina Mariani, M.
Filiación:Departmento de Matemática, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I (, 1428) Buenos Aires, Argentina
Palabras clave:Mountain pass lemma; P-LapIacian; Weighted sobolev spaces
Año:2002
Volumen:2
Número:3
Página de inicio:237
Página de fin:250
DOI: http://dx.doi.org/10.1515/ans-2002-0302
Título revista:Advanced Nonlinear Studies
Título revista abreviado:Adv. Nonlinear Stud.
ISSN:15361365
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15361365_v2_n3_p237_DeNapoli

Referencias:

  • Adams, R., (1975) Sobolev Spaces, , Academic Press
  • Ambrosetti, A., Rabinowitz, P., Dual variational methods in critical point theory and applications (1973) J. Funct. Anal., 14, pp. 349-381
  • Amster, P., Mariani, M.C., The prescribed mean curvature equation for nonparametric surfaces (2001) Nonlinear Analysis, 47, p. 7
  • Amster, P., Cassinelli, M., Mariani, M.C., Rial, D.F., Existence and regularity of weak solutions to the prescribed mean curvature equation for a nonparametric surface (1999) Abstract and Applied Analysis, 4 (1)
  • Brezis, H., (1983) Analyse Fonctionnelle, , Masson, Paris
  • De Nápoli, P., Mariani, M.C., Three solutions of some quasilinear equations in ℝn near resonance (2001) Electron. J. Diff. Eqns., Conf., 6, pp. 131-140
  • De Nápoli, P., Mariani, M.C., Mountain Pass Solutions to Equations of P-Laplacian Type, , To appear in Nonlinear Analysis
  • De Nápoli, P., Mariani, M.C., Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems (2002) Abstract and Applied Analysis, 7 (3), pp. 155-167
  • Kilpeläinen, T., Weighted Sobolev spaces and capacity (1994) Annales Academiae Scientiarum Fennicae, 19, pp. 95-113
  • Dinca, G., Jebelean, P., Mawhin, J., A result of Ambrosetti-Rabinowitz type for pLaplacian (1995) Qualitative Problems for Differential Equations and Control Theory, World Scientific, pp. 231-242. , Corduneanu, C. (ed.). Singapore,
  • Gossez, J.-P., Some remarks on the antimaximum principle (1998) Revista de la Unión Matemática Argentina, 41, pp. 79-84
  • Pflüger, K., Semilinear Elliptic Problems in Unbounded Domains: Solutions in Weighted Sobolev Spaces, , Preprint 21 A 95. Freie Universität Berlin
  • Do Ó, J.M.B., Solutions to perturbed eigenvalue problems of the p-Laplacian in ℝn (1997) Electronic Journal of Diff. Eq., 1, pp. 1-15
  • Rabinowitz, P., Minimax methods in critical point theory with applications to differential equations (1984) Expository Lectures from the CBMS Regional Conference Held at the University of Miami, , American Mathematical Society
  • Willem, M., (1996) Minimax Theorems, , Birkhäuser, Boston

Citas:

---------- APA ----------
De Nápoli, P.L. & Cristina Mariani, M. (2002) . Equations of p-laplacian type in unbounded domains. Advanced Nonlinear Studies, 2(3), 237-250.
http://dx.doi.org/10.1515/ans-2002-0302
---------- CHICAGO ----------
De Nápoli, P.L., Cristina Mariani, M. "Equations of p-laplacian type in unbounded domains" . Advanced Nonlinear Studies 2, no. 3 (2002) : 237-250.
http://dx.doi.org/10.1515/ans-2002-0302
---------- MLA ----------
De Nápoli, P.L., Cristina Mariani, M. "Equations of p-laplacian type in unbounded domains" . Advanced Nonlinear Studies, vol. 2, no. 3, 2002, pp. 237-250.
http://dx.doi.org/10.1515/ans-2002-0302
---------- VANCOUVER ----------
De Nápoli, P.L., Cristina Mariani, M. Equations of p-laplacian type in unbounded domains. Adv. Nonlinear Stud. 2002;2(3):237-250.
http://dx.doi.org/10.1515/ans-2002-0302