Results 11 to 20 of about 62 (62)

A class of functionals possessing multiple global minima [PDF]

, 2022
We get a new multiplicity result for gradient systems. Here is a very particular corollary: Let Ω ⊂ Rn (n ≥ 2) be a smooth bounded domain and let Φ : R2 → R be a C1 function, with Φ(0, 0) = 0, such that... Mathematics Subject Classification (2010): 35J47,
RICCERI, Biagio
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Positive solution for a class of coupled (p,q)-Laplacian nonlinear systems [PDF]

, 2014
In this article, we prove the existence of a nontrivial positive solution for the elliptic system ⎧⎨ ⎩ –_pu = ω(x)f (v) in_, –_qv = ρ(x)g(u) in_, (u, v) = (0,0) on ∂_, where_p denotes the p-Laplacian operator, p, q > 1 and _ is a smooth bounded ...
Ferreira, Wenderson Marques, Martins, Eder Marinho, Eder M Martins, Wenderson M Ferreira   +3 more
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Multiplicity of weak solutions for a class of non-homogeneous anisotropic elliptic systems [PDF]

We study the existence of infinitely many weak solutions for a new class of nonhomogeneous Neumann elliptic systems involving operators that extend both generalized Laplace operators and generalized mean curvature operators in the framework of ...
AHMED, Ahmed, ELEMINE VALL, Mohamed Saad Bouh   +1 more
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Stability and critical dimension for Kirchhoff systems in closed manifolds

Advanced Nonlinear Studies
The Kirchhoff equation was proposed in 1883 by Kirchhoff [Vorlesungen über Mechanik, Leipzig, Teubner, 1883] as an extension of the classical D’Alembert’s wave equation for the vibration of elastic strings. Almost one century later, Jacques Louis Lions [“
Hebey Emmanuel
doaj   +1 more source

Existence of Classical Solutions of Linear Non-Cooperative Elliptic Systems [PDF]

, 2019
[Boyadzhiev G.; Бояджиев Г.]; [Kutev N.; Кутев Н.]2010 Mathematics Subject Classification: 35J47 ...
Boyadzhiev, G., Kutev, N.
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Existence of Classical Solutions of Quasi-Linear Non-Cooperative Elliptic Systems [PDF]

, 2015
[Popivanov P.; Popivanov Petar; Попиванов Петър]; [Boyadzhiev G.; Бояджиев Г.]; [Markov Y.; Марков Й.]2010 Mathematics Subject Classification: 35J47 ...
Boyadzhiev, G., Popivanov, P., Markov, Y.   +2 more
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Regularity of minimizers for double phase functionals of borderline case with variable exponents

Advances in Nonlinear Analysis
The aim of this article is to study regularity properties of a local minimizer of a double phase functional of type ℱ(u)≔∫Ω(∣Du∣p(x)+a(x)∣Du∣p(x)log(e+∣Du∣))dx,{\mathcal{ {\mathcal F} }}\left(u):= \mathop{\int }\limits_{\Omega }({| Du| }^{p\left(x)}+a ...
Ragusa Maria Alessandra, Tachikawa Atsushi   +1 more
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Solvability in Classical Sense of Quasi-Linear Non-Cooperative Elliptic Systems and Application [PDF]

, 2016
[Popivanov P.; Popivanov Petar; Попиванов Петър]; [Boyadzhiev G.; Бояджиев Г.]; [Markov Y.; Марков Й.]2010 Mathematics Subject Classification: 35J47 ...
Boyadzhiev, G., Popivanov, P., Markov, Y.   +2 more
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Classification of solutions to a coupled nonlinear Schrödinger system

Demonstratio Mathematica
We are concerned with the classification of the general solutions to the following coupled nonlinear Schrödinger system−u″+λu=μu3+βv2u inR,−v″+λv=μv3+βu2v inR.
Zhou Luyan
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Existence via regularity of solutions for elliptic systems and saddle points of functionals of the calculus of variations

Advances in Nonlinear Analysis, 2017
The core of this paper concerns the existence (via regularity) of weak solutions in W01,2${W_{0}^{1,2}}$ of a class of elliptic systems such ...
Boccardo Lucio, Orsina Luigi
doaj   +1 more source