A remark on the existence of multiple solutions to a multiparameter nonlinear elliptic system

Combined Effects of Concave and Convex Nonlinearities in Some Elliptic Problems

Antonio Ambrosetti, Haı̈m Brezis, G. Cerami · Journal of Functional Analysis · 1994 · 1.1K citations

Monge-ampere Equation, Elliptic Equation, Convex Nonlinearities +6

The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function

K.J. Brown, Yanping Zhang · Journal of Differential Equations · 2003 · 417 citations

Monge-ampere Equation, Elliptic Equation, Semilinear Elliptic Equation +5

Positive solutions for the <i>p</i>-Laplacian: application of the fibrering method

Pavel Drábek, Stanislav I. Pohožaev · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1997 · 299 citations

Spectral Theory, Monge-ampere Equation, Elliptic Equation +6

Positive splutions of semilinear elliptic systems

Ph. Clément, Djairo G. de Figueiredo, Enzo Mitidieri · Communications in Partial Differential Equations · 1992 · 277 citations

Dirichlet Form, Elliptic Equation, Positive Solutions +6

A Priori Bounds and Multiple Solutions for Superlinear Indefinite Elliptic Problems

Herbert Amann, Julián López-Gómez · Journal of Differential Equations · 1998 · 215 citations

Monge-ampere Equation, Priori Bounds, Elliptic Equation +4