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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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