Advanced search
Publication Cover
Complex Variables and Elliptic Equations
An International Journal
Volume 55, 2010 - Issue 1-3: A tribute to Prof. Dr. C. Andreian Cazacu on the occasion of her 80th birthday
Submit an article Journal homepage
62
Views
20
CrossRef citations to date
0
Altmetric
Original Articles

Asymptotic behaviour of the solutions of a non-linear transmission problem for the Laplace operator in a domain with a small hole. A functional analytic approach

Massimo Lanza de Cristoforis Dipartimento di Matematica Pura ed Applicata, Università di Padova, Via Trieste 63, 35121 Padova, ItaliaCorrespondence[email protected]
Pages 269-303 | Received 29 Dec 2008, Accepted 20 Apr 2009, Published online: 07 Aug 2009

Citations (20)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (2)

Matteo Dalla Riva, Pier Domenico Lamberti, Paolo Musolino & Sergei V. Rogosin. (2020) A tribute to Massimo Lanza de Cristoforis. Complex Variables and Elliptic Equations 65:1, pages 1-5.
Read now
Matteo Dalla Riva & Paolo Musolino. (2016) A mixed problem for the Laplace operator in a domain with moderately close holes. Communications in Partial Differential Equations 41:5, pages 812-837.
Read now

Articles from other publishers (18)

Matteo Dalla Riva, Paolo Luzzini & Paolo Musolino. (2022) Shape analyticity and singular perturbations for layer potential operators. ESAIM: Mathematical Modelling and Numerical Analysis 56:6, pages 1889-1910.
Crossref
Tuğba Akyel & Massimo Lanza de Cristoforis. (2022) Asymptotic behavior of the solutions of a transmission problem for the Helmholtz equation: A functional analytic approach. Mathematical Methods in the Applied Sciences 45:9, pages 5360-5387.
Crossref
Matteo Dalla Riva, Riccardo Molinarolo & Paolo Musolino. (2021) Existence results for a nonlinear nonautonomous transmission problem via domain perturbation. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, pages 1-26.
Crossref
Matteo Dalla Riva, Massimo Lanza de Cristoforis & Paolo MusolinoMatteo Dalla Riva, Massimo Lanza de Cristoforis & Paolo Musolino. 2021. Singularly Perturbed Boundary Value Problems. Singularly Perturbed Boundary Value Problems 433 481 .
Matteo Dalla Riva, Massimo Lanza de Cristoforis & Paolo MusolinoMatteo Dalla Riva, Massimo Lanza de Cristoforis & Paolo Musolino. 2021. Singularly Perturbed Boundary Value Problems. Singularly Perturbed Boundary Value Problems 1 10 .
Matteo Dalla Riva, Riccardo Molinarolo & Paolo Musolino. (2020) Local uniqueness of the solutions for a singularly perturbed nonlinear nonautonomous transmission problem. Nonlinear Analysis 191, pages 111645.
Crossref
Virginie Bonnaillie-Noël, Matteo Dalla Riva, Marc Dambrine & Paolo Musolino. (2018) A Dirichlet problem for the Laplace operator in a domain with a small hole close to the boundary. Journal de Mathématiques Pures et Appliquées 116, pages 211-267.
Crossref
Roman Pukhtaievych. (2018) Asymptotic behavior of the solution of singularly perturbed transmission problems in a periodic domain. Mathematical Methods in the Applied Sciences 41:9, pages 3392-3413.
Crossref
M. Dalla Riva & P. Musolino. (2017) The Dirichlet problem in a planar domain with two moderately close holes. Journal of Differential Equations 263:5, pages 2567-2605.
Crossref
M. Dalla Riva & G. Mishuris. (2015) Existence results for a nonlinear transmission problem. Journal of Mathematical Analysis and Applications 430:2, pages 718-741.
Crossref
M. Lanza de Cristoforis & P. Musolino. 2015. Integral Methods in Science and Engineering. Integral Methods in Science and Engineering 353 359 .
Serhii Gryshchuk & Massimo Lanza de Cristoforis. (2014) Simple eigenvalues for the Steklov problem in a domain with a small hole. A functional analytic approach. Mathematical Methods in the Applied Sciences 37:12, pages 1755-1771.
Crossref
Massimo Lanza de Cristoforis & aolo Musolino. (2014) A quasi-linear heat transmission problem in a periodic two-phase dilute composite. A functional analytic approach. Communications on Pure and Applied Analysis 13:6, pages 2509-2542.
Crossref
M. Dalla Riva & P. Musolino. (2013) A singularly perturbed nonlinear traction problem in a periodically perforated domain: a functional analytic approach. Mathematical Methods in the Applied Sciences 37:1, pages 106-122.
Crossref
Massimo Lanza De Cristoforis & Paolo Musolino. (2013) A real analyticity result for a nonlinear integral operator. Journal of Integral Equations and Applications 25:1.
Crossref
Matteo Dalla Riva & Paolo Musolino. (2013) A Singularly Perturbed Nonideal Transmission Problem and Application to the Effective Conductivity of a Periodic Composite. SIAM Journal on Applied Mathematics 73:1, pages 24-46.
Crossref
M. Dalla Riva & P. Musolino. (2012) Real analytic families of harmonic functions in a domain with a small hole. Journal of Differential Equations 252:12, pages 6337-6355.
Crossref
Paolo Musolino. (2011) A singularly perturbed Dirichlet problem for the Laplace operator in a periodically perforated domain. A functional analytic approach. Mathematical Methods in the Applied Sciences 35:3, pages 334-349.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.