Existence of bounded solutions for some degenerated quasilinear elliptic equations

DOI10.1007/BF01765850zbMath0806.35047OpenAlexW4246811389MaRDI QIDQ1327147

Pavel Drábek, Francesco Nicolosi

Publication date: 13 February 1995

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01765850

zbMATH Keywords

existence of bounded solutionsnatural growth in the gradient

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70)

Related Items (14)

On some noncoercive variational inequalities containing degenerate elliptic operators ⋮ Hölder continuity of bounded generalized solutions for some degenerated quasilinear elliptic equations with natural growth terms ⋮ Renormalized solutions of degenerate elliptic problems ⋮ Existence of solutions for degenerated problems in \(L^1\) having lower order terms with natural growth ⋮ On a new class of systems of degenerate nonlinear elliptic higher-order equations ⋮ On the existence of bounded generalized solutions of the Dirichlet problem for a class of nonlinear high-order elliptic equations ⋮ A singular nonlinear elliptic equation with natural growth in the gradient ⋮ On regularity up to the boundary of solutions to a system of degenerate nonlinear elliptic fourth-order equations ⋮ Existence of solution for quasilinear degenerated elliptic unilateral problems ⋮ The regularity of generalized solutions of degenerate nonlinear higher order elliptic systems ⋮ Existence of bounded solutions for a system of degenerate nonlinear higher-order elliptic equations ⋮ Boundedness of solutions of variational inequalities with nonlinear degenerated elliptic operators of high order ⋮ Existence of entropy solutions for anisotropic quasilinear degenerated elliptic problems with Hardy potential ⋮ Boundedness and regularity for a class of solutions of a functional-differential system

Cites Work

• On the solvability of the first boundary value problem for certain classes of degenerating quasilinear elliptic equations of the second order
• Boundary value problems for some degenerate-elliptic operators
• Quasilinear elliptic equations with quadratic growth in unbounded domains
• Strongly nonlinear elliptic equations having natural growth terms and L1 data
• $L^\infty $ Estimate for Some Nonlinear Elliptic Partial Differential Equations and Application to an Existence Result
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