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@article{1857677,
author = {Arora, Rakesh and Fiscella, Alessio and Mukherjee, Tuhina and Winkert, Patrick and Fiscella, Alessio and Mukherjee, Tuhina and Winkert, Patrick},
article_number = {3},
doi = {http://dx.doi.org/10.1007/s12215-022-00762-7},
keywords = {Critical growth; Double phase operator; Fibering method; Nehari manifold; Nonlocal Kirchhof term; Singular problem},
language = {eng},
issn = {0009-725X},
journal = {Rendiconti del Circolo Matematico di Palermo Series 2},
title = {On critical double phase Kirchhoff problems with singular nonlinearity},
url = {https://link.springer.com/article/10.1007/s12215-022-00762-7},
volume = {71},
year = {2022}
}
TY - JOUR
ID - 1857677
AU - Arora, Rakesh - Fiscella, Alessio - Mukherjee, Tuhina - Winkert, Patrick - Fiscella, Alessio - Mukherjee, Tuhina - Winkert, Patrick
PY - 2022
TI - On critical double phase Kirchhoff problems with singular nonlinearity
JF - Rendiconti del Circolo Matematico di Palermo Series 2
VL - 71
IS - 3
SP - 1079-1106
EP - 1079-1106
PB - Springer
SN - 0009725X
KW - Critical growth
KW - Double phase operator
KW - Fibering method
KW - Nehari manifold
KW - Nonlocal Kirchhof term
KW - Singular problem
UR - https://link.springer.com/article/10.1007/s12215-022-00762-7
N2 - 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.
ER -
ARORA, Rakesh, Alessio FISCELLA, Tuhina MUKHERJEE and Patrick WINKERT. On critical double phase Kirchhoff problems with singular nonlinearity. \textit{Rendiconti del Circolo Matematico di Palermo Series 2}. Springer, 2022, vol.~71, No~3, p.~1079-1106. ISSN~0009-725X. Available from: https://dx.doi.org/10.1007/s12215-022-00762-7.
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