1,720,987 research outputs found
Non existence of bounded-energy solutions for some semilinear elliptic equations with a large parameter
No full textUniqueness of positive radial solutions for quasilinear elliptic equations in an annulus
No full textA global existence result for a Keller-Segel type system with supercritical initial data
No full textRegularity of stable solutions of p-Laplace equations through geometric Sobolev type inequalities
No full textNon existence of bounded-energy solutions for some semilinear elliptic equations with a large parameter. Rend. Sem. Mat. Univ. Padova 110 (2003), 147--160
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On a singular Liouville-type equation and the Alexandrov isoperimetric inequality
No full textWe obtain a generalized version of an inequality, first derived by C.
Bandle in the analytic setting, for weak subsolutions of a singular Liouville-type
equation. As an application we obtain a new proof of the Alexandrov isoperimetric
inequality on singular abstract surfaces. Interestingly enough, motivated by
this geometric problem, we obtain a seemingly new characterization of local metrics
on Alexandrov’s surfaces of bounded curvature. At least to our knowledge,
the characterization of the equality case in the isoperimetric inequality in such a
weak framework is new as well
Regularity of the extremal solution for singular p-Laplace equations
No full textYour article is protected by copyright and all rights are held exclusively by Springer-Verlag Berlin Heidelberg. This e-offprint is for personal use only and shall not be self-archived in electronic repositories. If you wish to self-archive your article, please use the accepted manuscript version for posting on your own website. You may further deposit the accepted manuscript version in any repository, provided it is only made publicly available 12 months after official publication or later and provided acknowledgement is given to the original source of publication and a link is inserted to the published article on Springer's website. The link must be accompanied by the following text: "The final publication is available at link.springer.com”. manuscripta math. 146, 519–529 (2015) © Springer-Verlag Berlin Heidelberg 2014 Daniele Castorina Regularity of the extremal solution for singular p-Laplace equation
Low dimensional instability for semilinear and quasilinear problems in R^N
No full textStability properties for solutions of in are investigated, where and . The aim is to identify a critical dimension so that every non-constant solution is linearly unstable whenever . For positive, increasing and convex nonlinearities , global bounds on allows us to find a dimension , which is optimal for exponential and power nonlinearities. In the radial setting we can deal more generally with nonlinearities and the dimension we find is still optimal
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