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The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name. |
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STUDIA MATHEMATICA - Issue no. 4 / 2010 | |||||||
Article: |
REMARKS ON A LIMITING CASE IN THE TREATMENT OF NONLINEAR PROBLEMS WITH MOUNTAIN PASS GEOMETRY. Authors: . |
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Abstract: We study a class of nonlinear elliptic problem with linear growth and Dirichlet boundary condition. By means of the mountain pass theorem, we establish the existence of a positive solution. The proof of the Palais-Smale condition differs with respect to the standard case that corresponds to nonlinearities with a superlinear behaviour. Key words and phrases. Mountain pass geometry, Palais-Smale compactness condition, critical point, linear growth. |
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