A unilateral problem for elliptic equations with quadratic growth and for \(L^1\)-data
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Publication:5934267
DOI10.1016/S0362-546X(99)00260-6zbMath0998.35023MaRDI QIDQ5934267
Publication date: 24 November 2002
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Theoretical approximation in context of PDEs (35A35)
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A quasilinear Dirichlet problem with quadratic growth respect to the gradient and \(L^1\) data ⋮ Generalized parabolic problems having a gradient term with natural growth and a measure initial data ⋮ Existence and regularity results for nonlinear parabolic equations with quadratic growth with respect to the gradient
Cites Work
- Nonlinear elliptic and parabolic equations involving measure data
- Existence of bounded solutions for non linear elliptic unilateral problems
- Estimates for solutions of nonlinear variational inequalities
- Strongly nonlinear problems with gradient dependent lower order nonlinearity
- Invariant criteria for existence of solutions to second-order quasilinear elliptic equations
- Équations elliptiques semilinéaires avec, pour la non linéarité, une condition de signe et une dépendance sous quadratique par rapport au gradient
- Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder
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