On Coron's problem for the p-Laplacian
نویسندگان
چکیده
منابع مشابه
Inverse nodal problem for p-Laplacian with two potential functions
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In this note, we want to give some remarks and improvements on a recent paper of us [3] about an optimization problem for the p−Laplace operator. These remarks were motivated by some discussion the authors had with Prof. Cianchi and we are grateful to him. Let us recall the problem analyzed in [3]. Given a domain Ω ⊂ R (bounded, connected, with smooth boundary) and some class of admissibel load...
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By using variational methods and critical point theory for smooth functionals defined on a reflexive Banach space, we establish the existence of infinitely many weak solutions for a Steklov problem involving the p(x)-Laplacian depending on two parameters. We also give some corollaries and applicable examples to illustrate the obtained result../files/site1/files/42/4Abstract.pdf
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We study the issues of reconstruction and stability issues of the inverse nodal problem for the one-dimensional p-Laplacian eigenvalue problem. A key step is the application of a modified Prüfer substitution to derive a detailed asymptotic expansion for the eigenvalues and nodal lengths. Two associated Ambarzumyan problems are also solved. AMS Subject Classification (2000) : 34A55, 34B24. 1 2 1...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2015
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2014.07.018