Existence of Normalized Solutions of a Hartree–Fock System With Mass Subcritical Growth
Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12309-12319, August 2025.ABSTRACT In this paper, we are concerned with normalized solutions of a class of Hartree‐Fock type systems. By seeking the constrained global minimizers of the corresponding functional, we prove that the existence and nonexistence of normalized solutions.
Hua Jin +3 more
wiley +1 more source
A mountain pass algorithm with projector
, 2012 In this paper, we present an enhanced version of the minimax algorithm of Chen, Ni, and Zhou that offers the additional guarantee that the solution found is a fix-point of a projector on a cone.
Tacheny, N. +5 more
core +1 more source
Multiplicity of solutions to the sum of polyharmonic equations with critical Sobolev exponents
Electronic Journal of Differential Equations, 2015 In this article, we prove multiplicity of solutions for the sum of polyharmonic equation with critical Sobolev exponent. The proof is based upon the methods of weakly lower semi-continuous of the functionals and the Mountain Pass Lemma without (PS ...
Wei Liu, Gao Jia, Lu-Quian Guo
doaj
On the mountain pass lemma [PDF]
, 1985 MathematicsSCI(E)2ARTICLE203 ...
CHANG, KC, Kung-Ching Chang
core
Periodic Solutions of a Class of Fourth-Order Superlinear Differential Equations
Abstract and Applied Analysis, 2012 This paper deals with the periodic solutions of a class of fourth-order superlinear differential equations. By using the classical variational techniques and symmetric mountain pass lemma, the periodic solutions of a single equation in literature are ...
Yanyan Li, Yuhua Long
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Boundary Value Problems for Fourth Order Nonlinear p-Laplacian Difference Equations
Journal of Applied Mathematics, 2014 We consider the boundary value problem for a fourth order nonlinear p-Laplacian difference equation containing both advance and retardation. By using Mountain pass lemma and some established inequalities, sufficient conditions of the existence of ...
Qinqin Zhang
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Infinitely many solutions for a class of hemivariational inequalities involving p(x)-Laplacian
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper hemivariational inequality with nonhomogeneous Neumann boundary condition is investigated. The existence of infinitely many small solutions involving a class of p(x) - Laplacian equation in a smooth bounded domain is established.
Fattahi Fariba, Alimohammady Mohsen
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Positive solutions of multiparameter semipositone p-Laplacian problems
, 2008 We obtain multiple positive solutions of multiparameter semipositone p-Laplacian problems using the sub- and supersolution method and the mountain pass ...
Shivaji, Ratnasingham +3 more
core +1 more source
Characterization of solutions to equations involving the p(x)-Laplace operator
Electronic Journal of Differential Equations, 2017 In this article we study two problems, a nonlinear eigenvalue problem involving the p(x)-Laplacian and a subcritical boundary value problem for the same operator.
Iulia Dorotheea Stircu +1 more
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Multiple solutions of fourth-order difference equations with different boundary conditions
Boundary Value Problems, 2019 In the present paper, a class of fourth-order nonlinear difference equations with Dirichlet boundary conditions or periodic boundary conditions are considered. Based on the invariant sets of descending flow in combination with the mountain pass lemma, we
Yuhua Long, Shaohong Wang, Jiali Chen
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