Results 61 to 70 of about 1,426,786 (167)

Existence of infinitely many solutions for semilinear elliptic equations

open access: yesElectronic Journal of Differential Equations, 2016
In this article, we study the existence and infinitely many solutions for the elliptic boundary-value problem $$\displaylines{ -\Delta u+a(x)u=f(x,u) \quad\text{in }\Omega, \cr u=0 \quad\text{on }\partial\Omega.
Hui-Lan Pan, Chun-Lei Tang
doaj  

Infinitely many homoclinic solutions for nonlinear p-Laplacian partial difference equations without Ambrosetti-Rabinowitz condition

open access: yesDemonstratio Mathematica
In this paper, we explore the existence of infinitely many homoclinic solutions for nonlinear p-Laplacian partial difference equations by variational methods in combination with the Symmetric Mountain Pass Theorem.
Long Yuhua
doaj   +1 more source

Mountain pass techniques for some classes of nonvariational problems

open access: yes, 2009
Existence results are presented for classical solutions to some nonvariational problems through a suitable approximation method of Mountain Pass critical ...
Matzeu, M   +6 more
core   +1 more source

Optimization Design and Performance Analysis of a Bionic Knee Joint Based on the Geared Five-Bar Mechanism. [PDF]

open access: yesBioengineering (Basel), 2023
Wang Z   +6 more
europepmc   +1 more source

Infinitely many symmetric solutions for anisotropic problems driven by nonhomogeneous operators [PDF]

open access: yes, 2019
We are concerned with the existence of infinitely many radial symmetric solutions for a nonlinear stationary problem driven by a new class of nonhomogeneous differential operators.
Repovš, Dušan
core   +1 more source

An existence result for hemivariational inequalities

open access: yesElectronic Journal of Differential Equations, 2004
We present a general method for obtaining solutions for an abstract class of hemivariational inequalities. This result extends many results to the nonsmooth case. Our proof is based on a nonsmooth version of the Mountain Pass Theorem with Palais-Smale or
Zsuzsanna Dalyay, Csaba Varga
doaj  

The mountain pass theorem: variants, generalizations and some applications

open access: yes, 2003
This 2003 book presents min-max methods through a study of the different faces of the Mountain Pass Theorem of Ambrosetti and ...
Jabri, Youssef
core  

Existence and multiplicity of positive solutions for a singular system via sub-supersolution method and Mountain Pass Theorem [PDF]

open access: yes, 2021
In this paper we show the existence and multiplicity of positive solutions using the sub-supersolution method and Mountain Pass Theorem in a general singular system which the operator is not homogeneous neither ...
Nascimento Rubia Gonçalves   +1 more
core  

The structure of the critical set in the mountain pass theorem

open access: yes, 1987
We show that the critical set generated by the Mountain Pass Theorem of Ambrosetti and Rabinowitz must have a well-defined structure. In particular, if the underlying Banach space is infinite dimensional then either the critical set contains a saddle ...
Patrizia Pucci   +3 more
core   +1 more source

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