Skip to main content Accessibility help
×
Home
Hostname: page-component-768ffcd9cc-9th95 Total loading time: 0.183 Render date: 2022-12-01T17:46:56.059Z Has data issue: true Feature Flags: { "shouldUseShareProductTool": true, "shouldUseHypothesis": true, "isUnsiloEnabled": true, "useRatesEcommerce": false, "displayNetworkTab": true, "displayNetworkMapGraph": false, "useSa": true } hasContentIssue true

On some nonlinear elliptic equations involving derivatives of the nonlinearity

Published online by Cambridge University Press:  14 November 2011

J. Carrillo
Affiliation:
Departamento de Ecuaciones Funcionales, Facultad de Matematicas, Universidad Complutense, Madrid 3, Spain
M. Chipot
Affiliation:
Department of Mathematics, University of Maryland, College Park, MD 20742, U.S.A. and Département de Mathématiques, Université de Nancy I, BP 239-54506 Vandoeuvre-Cedex, France

Synopsis

We give some results on existence and uniqueness for the solution of elliptic boundary value problems of type

when the βi are not necessarily smooth.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1985

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Brezis, H.. The Dam Problem revisited. In Free Boundary Problems: Theory and Applications Vol. 1, (Fasano, A., Primicerio, M., editors) (London: Pitman, 1983).Google Scholar
2Brezis, H., Kinderlehrer, D. and Stampacchia, G.. Sur une nouvelle formulation du probléme de l'écoulement à travers une digue. C. R. Acad. Sci. Paris, Sér. A 287 (1978), 711714.Google Scholar
3Carrillo-Menendez, J.. Existencia de solucion para una familia de Problemas no-lineales (Algumos aspectos de la unicidad). Ada III Congresso de Ecuaciones Differenciales y Applicationes, Santiago, June 1980.Google Scholar
4Gilbarg, D. and Trudinger, N. S.. Elliptic Partial Differential Equations of Second Order (Berlin: Springer, 1977).CrossRefGoogle Scholar
5Kinderlehrer, D. and Stampacchia, G.. An Introduction to Variational Inequalities and their Applications (New York: Academic Press, 1980).Google Scholar
6Ladyzhenskaya, O. A. and Ural'tseva, N. N.. Linear and Quasilinear Elliptic Equations (New York: Academic Press, 1968).Google Scholar
7Lions, J. L.. Problemes aux limites dans les equations aux derivées partielles (Presses de I'Université de Montreal, 1965).Google Scholar
8Stampacchia, G.. Equations elliptiques du second ordre à coefficients discontinus (Presses de l'Université de Montreal, 1965).Google Scholar
23
Cited by

Save article to Kindle

To save this article to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

On some nonlinear elliptic equations involving derivatives of the nonlinearity
Available formats
×

Save article to Dropbox

To save this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you used this feature, you will be asked to authorise Cambridge Core to connect with your Dropbox account. Find out more about saving content to Dropbox.

On some nonlinear elliptic equations involving derivatives of the nonlinearity
Available formats
×

Save article to Google Drive

To save this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you used this feature, you will be asked to authorise Cambridge Core to connect with your Google Drive account. Find out more about saving content to Google Drive.

On some nonlinear elliptic equations involving derivatives of the nonlinearity
Available formats
×
×

Reply to: Submit a response

Please enter your response.

Your details

Please enter a valid email address.

Conflicting interests

Do you have any conflicting interests? *