Local Boundedness for Weak Solutions to some Quasilinear Elliptic Systems
Keywords:
Quasilinear, elliptic, system, weak, solution, regularityAbstract
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.
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Published
2021-07-02
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How to Cite
Local Boundedness for Weak Solutions to some Quasilinear Elliptic Systems. (2021). Minimax Theory and Its Applications, 6(2), 365–378. https://journalmta.com/index.php/jmta/article/view/149
