Results 91 to 100 of about 440 (168)

Geometric description of the mountain pass critical points

open access: yes, 2014
In this short commentary I present the main results contained in the famous paper [P. Pucci & J. Serrin, The structure of the critical set in the mountain pass theorem, Trans. Amer. Math. Soc. 299 (1987), no. 1, 115–132].
PUCCI, Patrizia
core  

Existence of solutions for a p-Laplacian Kirchhoff type problem with nonlinear term of superlinear and subcritical growth

open access: yes, 2022
This paper is concerned by the study of the existence of nonnegative and nonpositive solutions for a nonlocal quasilinear Kirchhoff problem by using the Mountain Pass lemma technique.
TOUFIK, Moussaoui, IMANE, Melzi
core  

Existence of solutions to perturbed critical biharmonic equations with Hardy potential

open access: yesElectronic Journal of Differential Equations
This article studies a perturbed critical biharmonic equation with Hardy potential. The main challenge arises from the combined effects of critical Sobolev nonlinearity and singular Hardy potential, which induce a double loss of compactness in the ...
Qi Li, Yuzhu Han, Jian Wang
doaj  

Multiple solutions for coercive p-Laplacian equations

open access: yes, 2006
We obtain multiple nonzero solutions for coercive p-Laplacian equations. In order to obtain the third nonzero solution, we use the second deformation lemma to construct the desired mountain pass ...
Liu, SB, Liu, Shibo
core   +1 more source

On Mountain Pass Type Algorithms

open access: yes, 2013
We consider constructive proofs of the mountain pass lemma, the saddle point theorem and a linking type theorem. In each, an initial “path” is deformed by pushing it downhill using a (pseudo) gradient flow, and, at each step, a high point on the deformed
Bisgard, James
core  

Mountain Passes and Saddle Points

open access: yes, 2015
Variational methods find solutions of equations by considering a solution as a critical point of an appropriately chosen function. Local minima and maxima are well-known types of critical points.
Bisgard, James
core  

Multiple solutions for a class of biharmonic equations with a nonlinearity concave at the origin

open access: yes, 2011
In this paper, we investigate the existence of multiple solutions for a class of biharmonic equations where the nonlinearity involves a concave term at the origin.
Wei, Zhongli   +3 more
core   +1 more source

THE MOUNTAIN PASS LEMMA

open access: yes, 2016
Bachelor'sBACHELOR OF SCIENCE ...
HO REN AN
core  

Revision of the genus Agrostis (Poaceae, Pooideae, Poeae) in Megamexico. [PDF]

open access: yesPhytoKeys, 2023
Vigosa-Mercado JL   +3 more
europepmc   +1 more source

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