Geodesic
Superlinear Weighted (p,q)-Equations with Indefinite Potential
Journal of convex analysis, Tome 28 (2021) no. 3, pp. 967-982
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We consider a nonlinear Dirichlet problem driven by a weighted $(p,q)$-Laplacian plus an indefinite potential term. The reaction is superlinear. We prove a three solutions theorem providing sign information for all of them (positive, negative, nodal). The nodal solution is produced using flow invariance arguments.
Classification : 35J20, 35J60
Mots-clés : Weighted (p,q)-Laplacian, nonlinear maximum principle, extremal constant sign solutions, nodal solution, indefinite potential 
@article{JCA_2021_28_3_JCA_2021_28_3_a16,
     author = {Z. Liu and N. S. Papageorgiou},
     title = {Superlinear {Weighted} {(p,q)-Equations} with {Indefinite} {Potential}},
     journal = {Journal of convex analysis},
     pages = {967--982},
     year = {2021},
     volume = {28},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2021_28_3_JCA_2021_28_3_a16/}
}
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Z. Liu; N. S. Papageorgiou. Superlinear Weighted (p,q)-Equations with Indefinite Potential. Journal of convex analysis, Tome 28 (2021) no. 3, pp. 967-982. http://geodesic.mathdoc.fr/item/JCA_2021_28_3_JCA_2021_28_3_a16/