Results 11 to 20 of about 75 (64)

A class of functionals possessing multiple global minima

, 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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(p,Q) systems with critical singular exponential nonlinearities in the Heisenberg group

Open Mathematics, 2020
The paper deals with the existence of solutions for (p,Q)(p,Q) coupled elliptic systems in the Heisenberg group, with critical exponential growth at infinity and singular behavior at the origin.
Pucci Patrizia, Temperini Letizia
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Analysis of an elliptic system with infinitely many solutions

Advances in Nonlinear Analysis, 2017
We consider the elliptic system Δ⁢u=up⁢vq${\Delta u\hskip-0.284528pt=\hskip-0.284528ptu^{p}v^{q}}$, Δ⁢v=ur⁢vs${\Delta v\hskip-0.284528pt=\hskip-0.284528ptu^{r}v^{s}}$ in Ω with the boundary conditions ∂⁡u/∂⁡η=λ⁢u${{\partial u/\partial\eta}=\lambda u}$, ∂⁡
Cortázar Carmen, Elgueta Manuel, García-Melián Jorge   +2 more
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Coercive elliptic systems with gradient terms

Advances in Nonlinear Analysis, 2017
In this paper we give a classification of positive radial solutions of the following system:
Filippucci Roberta, Vinti Federico
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Critical elliptic systems involving multiple strongly–coupled Hardy–type terms

Advances in Nonlinear Analysis, 2019
In this paper, we study the radially–symmetric and strictly–decreasing solutions to a system of critical elliptic equations in RN, which involves multiple critical nonlinearities and strongly–coupled Hardy– type terms.
Kang Dongsheng, Liu Mengru, Xu Liangshun
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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
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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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