On a new class of systems of degenerate nonlinear elliptic higher-order equations

DOI10.1016/j.na.2009.05.024zbMath1239.35054OpenAlexW1983712050MaRDI QIDQ425807

Salvatore Bonafede

Publication date: 9 June 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.05.024

zbMATH Keywords

systemsnonlinearelliptic equationsdegeneratehigher order

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Higher-order elliptic systems (35J48)

Cites Work

• Existence theorems for boundary value problems associated to quasilinear elliptic equations
• Existence of bounded solutions for some degenerated quasilinear elliptic equations
• Nirenberg-Gagliardo interpolation inequality and regularity of solutions of nonlinear higher order equations
• On regularity up to the boundary of solutions to degenerate nonlinear elliptic high-order equations
• Linear and quasilinear elliptic equations
• Boundary value problems for some degenerate-elliptic operators
• Local bounds for solutions of higher order nonlinear elliptic partial differential equations
• The regularity of generalized solutions of degenerate nonlinear higher order elliptic systems
• Boundedness of solutions of variational inequalities with nonlinear degenerated elliptic operators of high order
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