Existence results for a class of nonlinear elliptic problems with \(p\)-growth in the gradient

DOI10.1016/S0362-546X(02)00143-8zbMath1087.35037MaRDI QIDQ1863478

Cristina Trombetti, Nathalie Grenon

Publication date: 11 March 2003

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

zbMATH Keywords

nonlinear elliptic equationsexistence.

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60)

Related Items (31)

Some remarks on elliptic problems with critical growth in the gradient ⋮ Nonlinear elliptic systems with coupled gradient terms ⋮ 1-Laplacian type problems with strongly singular nonlinearities and gradient terms ⋮ Existence and uniqueness of solutions to some singular equations with natural growth ⋮ On elliptic equations in Orlicz spaces involving natural growth term and measure data ⋮ Singular solutions of a \(p\)-Laplace equation involving the gradient ⋮ Existence and regularity of nonlinear advection problems ⋮ Singular solutions of elliptic equations involving nonlinear gradient terms on perturbations of the ball ⋮ A nonlinear elliptic problem involving the gradient on a half space ⋮ Good-\(\lambda \) and Muckenhoupt-Wheeden type bounds in quasilinear measure datum problems, with applications ⋮ \(q\)-Laplace equation involving the gradient on general bounded and exterior domains ⋮ Generalized parabolic problems having a gradient term with natural growth and a measure initial data ⋮ Nonlinear elliptic equations with a lower-order term depending on the gradient in Orlicz spaces ⋮ Entire positive solutions of the singular Emden-Fowler equation with nonlinear gradient term ⋮ A singular nonlinear elliptic equation with natural growth in the gradient ⋮ Superharmonic functions are locally renormalized solutions ⋮ Morrey global bounds and quasilinear Riccati type equations below the natural exponent ⋮ Existence and multiplicity of weak solutions for a singular semilinear elliptic equation ⋮ Singular solutions of a Lane-Emden system ⋮ Quasilinear equations with natural growth ⋮ Quasilinear elliptic system in exterior domains with dependence on the gradient ⋮ On the existence of positive solutions to semilinear elliptic systems involving gradient term ⋮ Existence results for quasilinear elliptic exterior problems involving convection term and nonlinear Robin boundary conditions ⋮ Nonlinear elliptic equations having a gradient term with natural growth ⋮ Comparison and Existence Results for Classes of Nonlinear Elliptic Equations with General Growth in the Gradient ⋮ Local and global behaviour of solutions to nonlinear equations with natural growth terms ⋮ On the problem of maximal \(L^q\)-regularity for viscous Hamilton-Jacobi equations ⋮ Quasilinear Riccati Type Equations with Super-Critical Exponents ⋮ Singular quasilinear equations with quadratic growth in the gradient without sign condition ⋮ Some elliptic problems involving the gradient on general bounded and exterior domains ⋮ Singular solutions of a Hénon equation involving a nonlinear gradient term

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