Results 91 to 100 of about 1,117,308 (199)

Existence and multiplicity of solutions for Klein–Gordon–Maxwell systems with sign-changing potentials

Advances in Difference Equations, 2019
In this paper, we study the following nonlinear Klein–Gordon–Maxwell system: {−Δu+V(x)u−(2ω+ϕ)ϕu=f(x,u)+λh(x)|u|q−2u,x∈R3,Δϕ=(ω+ϕ)u2,x∈R3,(Pλ) $$ \textstyle\begin{cases} -\Delta u+ V(x)u-(2\omega +\phi )\phi u = f(x,u)+\lambda h(x) \vert u \vert ^{q-2}u,
Chongqing Wei, Anran Li
doaj   +1 more source

The mountain pass theorem: variants, generalizations and some applications

, 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
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Soliton Solutions for Quasilinear Schrödinger Equations

Journal of Applied Mathematics, 2013
By using a change of variables, we get new equations, whose respective associated functionals are well defined in and satisfy the geometric hypotheses of the mountain pass theorem. Using this fact, we obtain a nontrivial solution.
Junheng Qu
doaj   +1 more source

Mountain Pass Theorem and Applications to Fourth-order PDES with Variable Exponents

The authors establish the existence of multiple weak solutions to a fourth order equation. Their analysis employs the Mountain Pass Theorem combined with variable exponent theory of generalized Lebesgue-Sobolev spaces.
Ghasem A. Afrouzi, John R. Graef, Atieh R. Jalali   +2 more
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Mountains of Our Future Earth: Defining Priorities for Mountain Research: A Synthesis From the 2015 Perth III Conference [PDF]

, 2016
The Perth conferences, held every 5 years in Perth, Scotland, bring together people who identify as mountain researchers and who are interested in issues related to global change in mountain social-ecological systems.
Balsiger, Jörg, Gleeson, Erin H., Wymann von Dach, Susanne, von Dach, Susanne Wymann, Anne Nolin, Price, Martin F., Erin H. Gleeson, Gleeson, Erin Holly, Balsiger, J., Susanne Wymann von Dach, Flint, Courtney G., Martin F. Price, Greenwood, Gregory B., Price, M.F., Gregory B. Greenwood, Nolin, Anne, Flint, C.G., Vanacker, Veerle, Jörg Balsiger, Gleeson, E.H., Greenwood, G.B., Courtney G. Flint, Von Dach, S.W., Veerle Vanacker, Greenwood, Gregory, Nolin, A.   +25 more
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Mountain Pass Theorem With infinite symmetry

, 2012
We extend a work of Bartsch, Clapp and Puppe on the Mountain pass theorems. We consider functionals invariant with respect to infinite discrete groups satisfying a maximality condition on the finite subgroups.
openaire   +2 more sources

Du Bois-Reymond Type Lemma and Its Application to Dirichlet Problem with the p(t)-Laplacian on a Bounded Time Scale. [PDF]

Entropy (Basel), 2021
Mawhin J, Skrzypek E, Szymańska-Dȩbowska K.   +2 more
europepmc   +1 more source

Existence Results for a px-Kirchhoff-Type Equation without Ambrosetti-Rabinowitz Condition

Journal of Applied Mathematics, 2013
We consider the existence and multiplicity of solutions for the px-Kirchhoff-type equations without Ambrosetti-Rabinowitz condition. Using the Mountain Pass Lemma, the Fountain Theorem, and its dual, the existence of solutions and infinitely many ...
Libo Wang, Minghe Pei
doaj   +1 more source

The Monkman Pass Highway Association : promoting the connecting link on coast-to-coast highway through the great Peace River country. [PDF]

, 1938
Nov. 7, 1938.

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The impact of the mountain pass theory in nonlinear analysis: a mathematical survey

, 2010
This article provides a survey on mountain pass theory. The mountain pass theory is a useful tool to find the critical points of functionals, and it plays a central role in analysis of nonlinear problems, especially nonlinear differential equations ...
PUCCI, Patrizia, V. RADULESCU
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