Problems for elliptic singular equations with a quadratic gradient term
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Publication:2371862
DOI10.1016/j.jmaa.2006.12.017zbMath1156.35032OpenAlexW1995726040MaRDI QIDQ2371862
Giovanni Porru, Antonio Vitolo
Publication date: 9 July 2007
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.12.017
Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60)
Related Items (23)
Singular elliptic equations with directional diffusion ⋮ Existence and regularity of nonnegative solution of a singular quasi-linear anisotropic elliptic boundary value problem with gradient terms ⋮ Asymptotic behavior and existence of solutions for singular elliptic equations ⋮ Existence and regularity results for some elliptic equations with degenerate coercivity and singular quadratic lower-order terms ⋮ Existence of solutions for degenerate parabolic equations with singular terms ⋮ The boundary behavior of the unique solution to a singular Dirichlet problem ⋮ Nonexistence of solutions for singular elliptic equations with a quadratic gradient term ⋮ The exact boundary behavior of solutions to singular nonlinear Lane-Emden-Fowler type boundary value problems ⋮ Existence and multiplicity of weak solutions for a singular semilinear elliptic equation ⋮ Positive solution to extremal Pucci's equations with singular and gradient nonlinearity ⋮ Refined second boundary behavior of the unique strictly convex solution to a singular Monge-Ampère equation ⋮ Second order expansion for the solution to a singular Dirichlet problem ⋮ The second expansion of the unique vanishing at infinity solution to a singular elliptic equation ⋮ Boundary behaviour for solutions of elliptic singular equations with a gradient term ⋮ Estimates for blow-up solutions to nonlinear elliptic equations with \(p\)-growth in the gradient ⋮ The second expansion of the solution for a singular elliptic boundary value problem ⋮ Extensions of a theorem of Cauchy-Liouville ⋮ The exact boundary behavior of the unique solution to a singular Dirichlet problem with a nonlinear convection term ⋮ Boundary behaviour for solutions of boundary blow-up problems in a borderline case ⋮ Existence and nonexistence of solutions for singular quadratic quasilinear equations ⋮ Two classes of nonlinear singular Dirichlet problems with natural growth: existence and asymptotic behavior ⋮ Optimal global asymptotic behaviour of the solution to a class of singular Dirichlet problems ⋮ Asymptotic behavior for the unique positive solution to a singular elliptic problem
Cites Work
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- On a Singular Nonlinear Elliptic Boundary-Value Problem
- On a dirichlet problem with a singular nonlinearity
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