Concepedia

Boundary value problems for nonlinear perturbations of vector p-Laplacian-like operators ∗

Raúl Manásevich, Jean Mawhin

Journal of the Korean Mathematical Society · 2000 · 65 citations · 32 references

Concepts

Abstract

The aim of this paper is to obtain nonlinear operators in suitable function spaces whose fixed points coincide with the solutions of the nonlinear boundary value problems

References

32

Periodic Solutions for Nonlinear Systems withp-Laplacian-Like Operators

Raúl Manásevich, Jean Mawhin · Journal of Differential Equations · 1998 · 330 citations

, , +11

A homotopic deformation along p of a Leray-Schauder degree result and existence for (¦u′¦p − 2u′)′ + ƒ(t, u) = 0, u(0) = u(T) = 0, p > 1

Manuel del Pino, Manuel Elgueta, Raúl Manásevich · Journal of Differential Equations · 1989 · 257 citations

, , +7

Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces

Jean Mawhin · Journal of Differential Equations · 1972 · 194 citations

, , +6

On the closed solution to some nonhomogeneous eigenvalue problems with $p$-Laplacian

Pavel Drábek, Raúl Manásevich · Differential and Integral Equations · 1999 · 150 citations · Full text

, , +11

Pairs of positive solutions for the one-dimensional p-Laplacian

C. De Coster · Nonlinear Analysis · 1994 · 139 citations

, , +8