Hölder continuity of bounded generalized solutions for some degenerated quasilinear elliptic equations with natural growth terms

DOI10.14712/1213-7243.2015.242zbMath1463.35210OpenAlexW2804780112MaRDI QIDQ4568245

Salvatore Bonafede

Publication date: 15 June 2018

Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/147178

zbMATH Keywords

weight functionelliptic equationsregularity of solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Second-order elliptic equations (35J15)

Related Items (2)

Pointwise estimates of solutions to \(2 m\)-order quasilinear elliptic equations with \(m(p, q)\) growth via Wolff potentials ⋮ Hölder continuity up to the boundary of solutions to nonlinear fourth-order elliptic equations with natural growth terms

Cites Work

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• Solvability of perturbed elliptic equations with critical growth exponent for the gradient
• Higher order nonlinear elliptic equations
• On the existence of bounded generalized solutions of the Dirichlet problem for a class of nonlinear high-order elliptic equations
• On a nonlinear partial differential equation having natural growth terms and unbounded solution
• On \(W\)-solutions of boundary value problems of degenerate elliptic operators
• Existence theorems for boundary value problems associated to quasilinear elliptic equations
• Existence of bounded solutions for some degenerated quasilinear elliptic equations
• On regularity up to the boundary of solutions to degenerate nonlinear elliptic high-order equations
• Elliptic partial differential equations of second order
• Hölder continuity for solutions of linear degenerate elliptic equations under minimal assumptions
• Local behavior of solutions of quasi-linear equations
• Fourth-order nonlinear elliptic equations with lower order term and natural growth conditions
• Boundary value problems for some degenerate-elliptic operators
• On the regularity of generalized solutions of linear, non-uniformly elliptic equations
• Existence of bounded solutions for a class of nonlinear fourth-order equations
• On functions of bounded mean oscillation
• A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
• The local regularity of solutions of degenerate elliptic equations
• Boundedness of solutions of degenerate nonlinear elliptic variational inequalities
• Boundedness of solutions of variational inequalities with nonlinear degenerated elliptic operators of high order
• On harnack type inequalities and their application to quasilinear elliptic equations
• On admissible extensions of the concept of a solution of linear and quasilinear elliptic equations of second order

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