Geodesic
Nodal Solutions for a Weighted (p,q)-Equation
Journal of convex analysis, Tome 29 (2022) no. 2, pp. 559-57
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We consider a Dirichlet problem driven by a weighted (p,q)-Laplacian with a reaction that involves a critical term and a locally defined perturbation. Using variational tools and cut-off techniques, we show that the problem has a sequence of arbitrarily small nodal solutions.
Classification : 35J20, 35J60
Mots-clés : Weighted (p,q)-Laplacian, critical term, locally defined perturbation, nonlinear regularity, extremal constant sign solutions, nodal solutions, cut-off function 
@article{JCA_2022_29_2_JCA_2022_29_2_a13,
     author = {Z. Liu and N. S. Papageorgiou},
     title = {Nodal {Solutions} for a {Weighted} {(p,q)-Equation}},
     journal = {Journal of convex analysis},
     pages = {559--57},
     year = {2022},
     volume = {29},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2022_29_2_JCA_2022_29_2_a13/}
}
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Z. Liu; N. S. Papageorgiou. Nodal Solutions for a Weighted (p,q)-Equation. Journal of convex analysis, Tome 29 (2022) no. 2, pp. 559-57. http://geodesic.mathdoc.fr/item/JCA_2022_29_2_JCA_2022_29_2_a13/