Geodesic
Local Boundedness for Weak Solutions to some Quasilinear Elliptic Systems
Minimax theory and its applications, Tome 6 (2021) no. 2
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We consider quasilinear elliptic systems in divergence form. In general, we cannot expect that weak solutions are locally bounded because of De Giorgi’s counterexample. Here we assume a condition on the support of off-diagonal coefficients that “keeps away” the counterexample and allows us to prove local boundedness of weak solutions.
Mots-clés : Quasilinear, elliptic, system, weak, solution, regularity 
@article{MTA_2021_6_2_a12,
     author = {Salvatore Leonardi,Francesco Leonetti and Cristina Pignotti,Eugenio Rocha and Vasile Staicu},
     title = {Local {Boundedness} for {Weak} {Solutions} to some {Quasilinear} {Elliptic} {Systems}},
     journal = {Minimax theory and its applications},
     year = {2021},
     volume = {6},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/MTA_2021_6_2_a12/}
}
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Salvatore Leonardi,Francesco Leonetti; Cristina Pignotti,Eugenio Rocha; Vasile Staicu. Local Boundedness for Weak Solutions to some Quasilinear Elliptic Systems. Minimax theory and its applications, Tome 6 (2021) no. 2. http://geodesic.mathdoc.fr/item/MTA_2021_6_2_a12/