Megumi Sano, Futoshi Takahashi
Abstract:
In this article, we consider a weighted sublinear eigenvalue problem
related to an improved critical Hardy inequality.
We discuss to what extent the weights can be singular for the existence
of weak solutions. Also we study the asymptotic behavior of the first
eigenvalues as a parameter involved varies.
Submitted July 8, 2016. Published August 10, 2016.
Math Subject Classifications: 35A23, 35J62, 35J20.
Key Words: Critical Hardy inequality; sublinear reaction term;
eigenvalue problem.
Show me the PDF file (261 KB), TEX file for this article.
 |
Megumi Sano Department of Mathematics Graduate School of Science Osaka City University, Sumiyoshi-ku, Osaka, 558-8585, Japan email: megumisano0609@st.osaka-cu.ac.jp |
|---|---|
 |
Futoshi Takahashi Department of Mathematics Osaka City University & OCAMI, Sumiyoshi-ku Osaka, 558-8585, Japan email: futoshi@sci.osaka-cu.ac.jp |
Return to the EJDE web page