E.A. Alfano | Dirichlet problem for noncoercive nonlinear elliptic equations in unbounded domains

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O.A. Ladyzhenskaya centennial conference on PDE’s, St. Petersburg, July 16 – July 22, 2022
Emilia Anna Alfano (University of Salerno)
Dirichlet problem for noncoercive nonlinear elliptic equations in unbounded domains

We consider noncoercive nonlinear Dirichlet problems with discontinuous
coefficients in unbounded domains. An existence result is proved exploiting
suitable coercive nonlinear approximate Dirichlet problems.
References
[1] E. A. Alfano and S. Monsurr`o, Noncoercive nonlinear Dirichlet problems
in unbounded domains, Nonlinear Anal., 192 (2020).
[2] L. Boccardo, Finite energy solutions of nonlinear Dirichlet problems with
discontinuous coefficients, Boll. Unione Mat. Ital., 5 (2012), 357–368.
[3] S. Monsurr`o and M. Transirico, Noncoercive elliptic equations with discontinuous coefficients in unbounded domains, Nonlinear Anal., 163 (2017), 86–103.
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