Schrödinger equations with singular potentials: linear and nonlinear boundary value problems

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F19%3A00115008" target="_blank" >RIV/00216224:14310/19:00115008 - isvavai.cz</a>

Alternative codes found

RIV/00216224:14310/19:00108895

Result on the web

<a href="https://link.springer.com/article/10.1007/s00208-018-1734-4" target="_blank" >https://link.springer.com/article/10.1007/s00208-018-1734-4</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00208-018-1734-4" target="_blank" >10.1007/s00208-018-1734-4</a>

Result language

angličtina

Original language name

Schrödinger equations with singular potentials: linear and nonlinear boundary value problems

Original language description

Let RN (N3) be a C2 bounded domain and F&lt; subset of&gt; be a C2 submanifold with dimension 0kN-2. Denote F=(,F), V=F-2and CH(V) the Hardy constant relative to V in . We study positive solutions of equations (LE) -LVu=0 and (NE) -LVu+f(u)=0 in where LV=+V, CH(V) and fC(R) is an odd, monotone increasing function. We extend the notion of normalized boundary trace introduced in Marcus and Nguyen (Ann Inst H. Poincare (C) Non Linear Anal 34:69-88, 2015) and employ it to investigate the linear equation (LE). Using these results we obtain properties of moderate solutions of (NE). Finally we determine a criterion for subcriticality of points on relative to f and study b.v.p. for (NE). In particular we establish existence and stability results when the data is concentrated on the set of subcritical points.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2019

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematische Annalen

ISSN

0025-5831

e-ISSN

1432-1807

Volume of the periodical

374

Issue of the periodical within the volume

1-2

Country of publishing house

DE - GERMANY

Number of pages

34

Pages from-to

361-394

UT code for WoS article

000471203400012

EID of the result in the Scopus database

2-s2.0-85051519262