Mountain Pass Solutions for a Double-Well Energy
โ Scribed by Kewei Zhang
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 201 KB
- Volume
- 182
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We consider a class of noncoercive hemivariational inequalities involving the p-Laplacian. Our goal is to obtain the existence of a nontrivial solution. Using the mountain-pass theorem for locally Lipschitz functionals we obtain the desired result.
In this paper, we show how the introduction of a nonlinear term in the classic spring model can produce dramatic results. We compute a large amplitude solution which is drastically different from the known linear, small amplitude solution. A dual variational formulation is given, recasting the probl
We use the mountain pass theorem to study the existence and multiplicity of positive solutions of the generalisation of the well-known logistic equation -u = g(x)u(x)(1 -u(x)) with Dirichlet boundary conditions to the case where g changes sign.
In this paper, by the mountain pass theorem, we give an existence theorem of nontrivial solutions for a coupled system of second and fourth order elliptic equations.