Existence results for quasilinear elliptic and parabolic problems with quadratic gradient terms and sources

DOI10.1515/ACV.2011.006zbMath1232.35068MaRDI QIDQ3098012

Luigi Orsina, Boccardo, Lucio, Maria Michaela Porzio

Publication date: 11 November 2011

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

zbMATH Keywords

quasilinear elliptic equationquasilinear parabolic equationsingular equations

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Quasilinear elliptic equations (35J62) Singular elliptic equations (35J75) Singular parabolic equations (35K67) Quasilinear parabolic equations (35K59)

Related Items (14)

Some nonlinear parabolic problems with singular natural growth term ⋮ Morrey estimates for some classes of elliptic equations with a lower order term ⋮ On nonlinear parabolic equations with singular lower order term ⋮ Existence of a continuum of solutions for a quasilinear elliptic singular problem ⋮ Asymptotic behavior and existence of solutions for singular elliptic equations ⋮ Existence and non-existence of positive solutions for nonlinear elliptic singular equations with natural growth ⋮ Existence and regularity results for some elliptic equations with degenerate coercivity and singular quadratic lower-order terms ⋮ Existence results for some nonlinear parabolic equations with degenerate coercivity and singular lower-order terms ⋮ On the existence and regularity of solutions to singular parabolic \(p\)-Laplacian equations with absorption term ⋮ Anisotropic degenerate elliptic problem with singular gradient lower order term ⋮ Construction of solutions to parabolic and hyperbolic initial–boundary value problems ⋮ Regularity of extremal solutions to nonlinear elliptic equations with quadratic convection and general reaction ⋮ Gelfand type quasilinear elliptic problems with quadratic gradient terms ⋮ Fractional heat equation with singular nonlinearity

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• EXISTENCE RESULTS FOR L¹ DATA OF SOME QUASI-LINEAR PARABOLIC PROBLEMS WITH A QUADRATIC GRADIENT TERM AND SOURCE
• Nonlinear parabolic equations with natural growth conditions and L1 data

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