Mountain pass theorem

Known as: Mountain pass lemma

The mountain pass theorem is an existence theorem from the calculus of variations. Given certain conditions on a function, the theorem demonstrates…

Papers overview

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2018

We focus on the following elliptic system with critical Sobolev exponents: −div(|∇u|p−2∇u) + m(x)|u|p−2u = λ|u|p−2u + (1/η)Gu(u…

2017

In this article, we show the existence of infinitely many solutions for the fractional p-Laplacian equations of Schrödinger…

2016

2016

2012

We consider a nonlinear Dirichlet elliptic equation driven by a nonhomogeneous differential operator and with a Caratheodory…

2011

We study the existence of homoclinic solutions for a class of non-homogeneous difference equation with periodic coefficients…

2010

. In this paper we study the existence of multiple solutions to the equation

2009

The main purpose of this paper is to establish a three critical points result without assuming the coercivity of the involved…

1999

We prove the existence of nontrivial solutions to the system u=u; v=v; on a bounded set of RN, with nonlinear coupling at the…

Highly Cited

1983

Highly Cited

1983

In C~1-space, the functional corresponding to a second order semilinear elliptic boundary value problem(BVP) does not satisfy the…