Eigenvalues and bifurcation for elliptic equations with mixed Dirichlet-Neumann boundary conditions related to Caffarelli-Kohn-Nirenberg inequalities
Słowa kluczowe
Equivalence problems, bifurcation, mixed boundary conditions, Cafarelli-Kohn-Nihrenberg inequalitiesAbstrakt
This work deals with the analysis of eigenvalues, bifurcation and Hölder continuity of solutions to mixed problems like $$ \cases -\div (|x|^{-p\gamma} |\nabla u|^{p-2}\nabla u) = f_{\lambda}(x,u) , &u > 0\ \text{ in }\Omega ,\\ u = 0 &\text{ on }\Sigma_1,\\ |x|^{-p\gamma}|\nabla u|^{p-2}\dfrac{\partial u}{\partial \nu} = 0 &\text{ on } \Sigma_2, \endcases $$ involving some potentials related with the Caffarelli-Kohn-Nirenberg inequalities, and with different kind of functions $f_\lambda (x,u)$.Pobrania
Opublikowane
2004-06-01
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1.
COLORADO, Eduardo & PERAL, Irened. Eigenvalues and bifurcation for elliptic equations with mixed Dirichlet-Neumann boundary conditions related to Caffarelli-Kohn-Nirenberg inequalities. Topological Methods in Nonlinear Analysis [online]. 1 czerwiec 2004, T. 23, nr 2, s. 239–273. [udostępniono 22.7.2024].
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