Existence of renormalized solutions to a nonlinear parabolic boundary value problem with a singular lower order term and a nonhomogeneous datum

Author:

Abdellaoui M.ORCID

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference57 articles.

1. Abdellaoui, M., Azroul, E.: Renormalized solutions for nonlinear parabolic equations with general measure data. Electron. J. Differ. Equ. 132, 1–21 (2018)

2. Arcoya, D., Carmona, J., Leonori, T., Martínez-Aparicio, P.J., Orsina, L., Petitta, F.: Existence and nonexistence of solutions for singular quadratic quasilinear equations. J. Di. Equ. 246(10), 4006–4042 (2009)

3. Baroni, P., Di Castro, A., Palatucci, G.: Global estimates for nonlinear parabolic equations. J. Evol. Equ. 13(1), 163–195 (2013)

4. Bénilan, P., Boccardo, L., Gallouët, T., Gariepy, R., Pierre, M., Vazquez, J.L.: An $$L^{1}$$-theory of existence and uniqueness of nonlinear elliptic equations. Ann. Scuola. Norm. Sup. Pisa Cl. Sci. 22, 241–273 (1995)

5. Boccardo, L.: Dirichlet problems with singular and gradient quadratic lower order terms. ESAIM Control Optim. Calc. Var. 14(3), 411–426 (2008)

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