Existence and uniqueness of large solutions of a degenerate and/or singular semilinear elliptic problem

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F25%3A00144347" target="_blank" >RIV/00216224:14310/25:00144347 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s42985-025-00333-2" target="_blank" >https://doi.org/10.1007/s42985-025-00333-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s42985-025-00333-2" target="_blank" >10.1007/s42985-025-00333-2</a>

Result language
angličtina
Original language name
Existence and uniqueness of large solutions of a degenerate and/or singular semilinear elliptic problem
Original language description
We show an existence and a uniqueness result for large solution to a degenerate and/or singular semilinear elliptic problem with its blow-up rate which is influenced by the degeneracy or singularity. It has been proved by showing, however of independent interest, an existence and a uniqueness of a weak solution of a degenerate and/or singular semilinear elliptic boundary value (nonhomogeneous) problem by penalty method for given weak sub- and supersolution.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GJ19-14413Y" target="_blank" >GJ19-14413Y: Linear and nonlinear elliptic equations with singular data and related problems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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