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Abstract:

In this paper, we study existence, uniqueness and asymptotic behavior near the boundary of solutions to Δ∞u = (D2u(x) Du(x)/|Du(x)|).Du(x)/|Du(x)| = uq in Ω with an explosive boundary condition u(x) → + ∞ as x →∂Ω. We find that there exists a solution if and only if q > 1. Moreover, when the domain Ω is sufficiently regular, such a solution is unique and verifies u(x) ∼(2(q + 1)/(q - 1)2)1/q-1 dist(x, ∂Ω) -2/q-1 © de Gruyter 2008.

Registro:

Documento: Artículo
Título:Large solutions for the infinity Laplacian
Autor:Juutinen, P.; Rossi, J.D.
Filiación:Department of Mathematics and Statistics, University of Jyväskylä, P.O.Box 35, FI-40014 Jyväskylä, Finland
IMDEA Matematicas, C-IX, Campus Cantoblanco Universidad, Autonoma de Madrid, Madrid, Spain
Departamento de Matemática, FCEyN Universidad de Buenos Aires, Ciudad Universitaria, Pab 1, 1428, Buenos Aires, Argentina
Palabras clave:Infinity Laplacian; Large solutions
Año:2008
Volumen:1
Número:3
Página de inicio:271
Página de fin:289
DOI: http://dx.doi.org/10.1515/ACV.2008.011
Título revista:Advances in Calculus of Variations
Título revista abreviado:Adv. Calc. Var.
ISSN:18648258
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_18648258_v1_n3_p271_Juutinen

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Citas:

---------- APA ----------
Juutinen, P. & Rossi, J.D. (2008) . Large solutions for the infinity Laplacian. Advances in Calculus of Variations, 1(3), 271-289.
http://dx.doi.org/10.1515/ACV.2008.011
---------- CHICAGO ----------
Juutinen, P., Rossi, J.D. "Large solutions for the infinity Laplacian" . Advances in Calculus of Variations 1, no. 3 (2008) : 271-289.
http://dx.doi.org/10.1515/ACV.2008.011
---------- MLA ----------
Juutinen, P., Rossi, J.D. "Large solutions for the infinity Laplacian" . Advances in Calculus of Variations, vol. 1, no. 3, 2008, pp. 271-289.
http://dx.doi.org/10.1515/ACV.2008.011
---------- VANCOUVER ----------
Juutinen, P., Rossi, J.D. Large solutions for the infinity Laplacian. Adv. Calc. Var. 2008;1(3):271-289.
http://dx.doi.org/10.1515/ACV.2008.011