On critical double phase Kirchhoff problems with singular nonlinearity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F22%3A00129071" target="_blank" >RIV/00216224:14310/22:00129071 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s12215-022-00762-7" target="_blank" >https://link.springer.com/article/10.1007/s12215-022-00762-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s12215-022-00762-7" target="_blank" >10.1007/s12215-022-00762-7</a>

Result language
angličtina
Original language name
On critical double phase Kirchhoff problems with singular nonlinearity
Original language description
The paper deals with the following double phase problem -m[integral(Omega) (vertical bar del u vertical bar(p)/p+a(x)vertical bar del u vertical bar(p)/q)dx]div(vertical bar del u vertical bar(p-2)del u+a(x)vertical bar del u vertical bar(q-2)del u) = lambda u(-gamma) + u(p*-1) in Omega, u > 0 in Omega, u = 0 on partial derivative Omega, where Omega subset of R-N is a bounded domain with Lipschitz boundary partial derivative Omega, N >= 2, m represents a Kirchhoff coefficient, 1 < p < q < p* with p* = Np/(N - p) being the critical Sobolev exponent to p, a bounded weight a(center dot) >= 0, lambda > 0 and gamma is an element of(0, 1). By the Nehari manifold approach, we establish the existence of at least one weak solution.
Czech name
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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/GA22-17403S" target="_blank" >GA22-17403S: Nonlinear Schrödinger equations and systems with singular potentials</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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