https://orcid.org/0000-0002-1451-3646
References
- Zeidler E. Nonlinear functional analysis and its applications, Vol. II/A linear monotone operators, Vol. II/B nonlinear monotone operators. New York: Springer-Verlag; 1985.
- Bhat YS, Moskow S. Homogenization of a nonlinear elliptic boundary value problem modeling galvanic currents. Multiscale Model Simul. 2006;5(1):149–169. doi: 10.1137/050637042
- Seger T. Elliptic-parabolic systems with applications to Lithium-ion battery models [PhD thesis]. Konstanz: University of Konstanz; 2013.
- Wu J, Xu J, Zou H. On the well-posedness of a mathematical model for Lithium-ion battery systems. Methods Appl Anal. 2006;13(3):275–298.
- Gilbarg D, Trudinger NS. Elliptic partial differential equations of second order. Berlin: Springer-Verlag; 2015.
- Carl S, Motreanu D. Sign-changing and extremal constant-sign solutions of nonlinear elliptic problems with supercritical nonlinearities. Comm Appl Nonlinear Anal. 2007;14(4):85.
- Miyajima S, Motreanu D, Tanaka M. Multiple existence results of solutions for the Neumann problems via super- and sub-solutions. J Funct Anal. 2012;262(4):1921–1953. doi: 10.1016/j.jfa.2011.11.028
- Borsuk M. Transmission problems for elliptic second-order equations in non-smooth domains. Basel: Springer Science & Business Media; 2010.
- Knees D. On the regularity of weak solutions of nonlinear elliptic transmission problems on polyhedral domains; 2003. (Report of the Sonderforschungsbereich 404: Mehrfeldprobleme in der Kontinuumsmechanik).
- Tan Q-J, Leng Z-J. The method of upper and lower solutions for diffraction problems of quasilinear elliptic reaction–diffusion systems. J Math Anal Appl. 2011;380(1):363–376. doi: 10.1016/j.jmaa.2011.02.050
- Latz A, Zausch J. Thermodynamic consistent transport theory of Li-ion batteries. J Power Sources. 2011;196(6):3296–3302. doi: 10.1016/j.jpowsour.2010.11.088
- Less GB, Seo JH, Han S, et al. Micro-scale modeling of Li-ion batteries: parameterization and validation. J Electrochem Soc. 2012;159(6):A697–A704. doi: 10.1149/2.096205jes
- Maier M. The mathematical analysis of a micro scale model for Lithium-ion batteries [Phd thesis]. Karlsruhe: Karlsruhe Institute of Technology; 2016.
- Alt H-W. Linear functional analysis. An application-oriented introduction. Berlin: Springer-Verlag; 2016.
- Grisvard P. Elliptic problems in nonsmooth domains. Philadelphia: Society for Industrial and Applied Mathematics; 2011. (Volume 69 of Classics in applied mathematics).
- Droniou J. Solving convection–diffusion equations with mixed, Neumann and Fourier boundary conditions and measures as data, by a duality method. Adv Differential Equations. 2000;5(10–12):1341–1396.
- Moser J. On Harnack's theorem for elliptic differential equations. Commun Pure Appl Math. 1961;14(3):577–591. doi: 10.1002/cpa.3160140329