Search

Start Over Subject Palais-Smale condition

1. Hypersurfaces in $\mathbb R^n$ and critical points in their external region

Creator:
Manchón, P. M. G.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
hypersurface in $\mathbb R^n$, nondegenerate critical point, noncompact Morse Theory, h-cobordism, and Palais-Smale condition
Language:
English
Description:
In this paper we study the hypersurfaces $M^n$ given as connected compact regular fibers of a differentiable map $f: \mathbb R^{n+1} \rightarrow \mathbb R$, in the cases in which $f$ has finitely many nondegenerate critical points in the unbounded component of $\mathbb R^{n+1} - M^n$.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Quasilinear elliptic problems with multivalued terms

Creator:
Halidias, Nikolaos and Papageorgiou, Nikolaos S.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
subdifferential, critical point, Palais-Smale condition, Mountain Pass Theorem, Saddle Point Theorem, multivalued term, Dirichlet problem, Neumann problem, p-Laplacian, and Rayleigh quotient
Language:
English
Description:
We study the quasilinear elliptic problem with multivalued terms.We consider the Dirichlet problem with a multivalued term appearing in the equation and a problem of Neumann type with a multivalued term appearing in the boundary condition. Our approach is based on Szulkin’s critical point theory for lower semicontinuous energy functionals.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public