Nonlinear problems having natural growth in the gradient: an existence result when the source terms are small

$L^\infty $ Estimate for Some Nonlinear Elliptic Partial Differential Equations and Application to an Existence Result

Lucio Boccardo, François Murat, Jean-Pierre Puel · SIAM Journal on Mathematical Analysis · 1992 · 195 citations

Natural Sciences, Mechanical Engineering, Cost-utility Analysis +8

On a non linear partial differential equation having natural growth terms and unbounded solution

F. Murat, Alain Bensoussan, Lucio Boccardo · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 1988 · 177 citations · Full text

Natural Sciences, Mathematics, Differential Equations +11

Invariant criteria for existence of solutions to second‐order quasilinear elliptic equations

Jerry L. Kazdan, Richard J. Kramer · Communications on Pure and Applied Mathematics · 1978 · 133 citations

Natural Sciences, Mathematics, Differential Equations +10

Uniqueness and the maximum principle for quasilinear elliptic equations with quadratic growth conditions

Guy Barles, Fran�ois Murat · Archive for Rational Mechanics and Analysis · 1995 · 98 citations

Natural Sciences, Mechanical Engineering, Finite Element Methods +13

Quasilinear elliptic equations with quadratic growth in the gradient

Carla Maderna, Carlo Pagani, Sandro Salsa · Journal of Differential Equations · 1992 · 56 citations

Engineering, Computational Engineering, Computational Fluid Dynamics +7