Results 31 to 40 of about 358 (54)

Radial and cylindrical symmetry of solutions to the Cahn-Hilliard equation

, 2019
The paper is devoted to the classification of entire solutions to the Cahn-Hilliard equation $-\Delta u = u-u^3-\delta$ in $\R^N$, with particular interest in those solutions whose nodal set is either bounded or contained in a cylinder.
Rizzi, Matteo
core   +1 more source

Regularity and Classification of Solutions to Fractional-Order Systems With Hartree-Type Nonlinearities

Abstract and Applied Analysis
MSC2020 Classification: 35R11, 35B06 ...
Yu-Cheng An, Guai-Qi Tian
doaj   +1 more source

Lie Symmetry Analysis of a Nonlinear Black–Scholes Equation in Illiquid Markets

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
We have conducted comprehensive Lie symmetry analysis of a nonlinear Black–Scholes equation that arises in illiquid markets. The equation incorporates nonlinearities arising from market constraints, such as transaction costs and liquidity effects.
Winter Sinkala, Theodore Simos
wiley   +1 more source

Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities

Advanced Nonlinear Studies
In this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia, Gallo Marco, Tanaka Kazunaga   +2 more
doaj   +1 more source

Sliding methods for dual fractional nonlinear divergence type parabolic equations and the Gibbons’ conjecture

Advanced Nonlinear Studies
In this paper, we consider the general dual fractional parabolic problem ∂tαu(x,t)+Lu(x,t)=f(t,u(x,t))inRn×R. ${\partial }_{t}^{\alpha }u\left(x,t\right)+\mathcal{L}u\left(x,t\right)=f\left(t,u\left(x,t\right)\right) \text{in} {\mathbb{R}}^{n}{\times ...
Guo Yahong, Ma Lingwei, Zhang Zhenqiu
doaj   +1 more source

Sign changing solutions of Lane Emden problems with interior nodal line and semilinear heat equations

, 2013
We consider the semilinear Lane Emden problem in a smooth bounded simply connected domain in the plane, invariant by the action of a finite symmetry group G.
De Marchis, Francesca, Ianni, Isabella, Pacella, Filomena   +2 more
core   +1 more source

The properties of a new fractional g-Laplacian Monge-Ampère operator and its applications

Advances in Nonlinear Analysis
In this article, we first introduce a new fractional gg-Laplacian Monge-Ampère operator: Fgsv(x)≔infP.V.∫Rngv(z)−v(x)∣C−1(z−x)∣sdz∣C−1(z−x)∣n+s∣C∈C,{F}_{g}^{s}v\left(x):= \inf \left\{\hspace{0.1em}\text{P.V.}\hspace{0.1em}\mathop{\int }\limits_{{{\mathbb{
Wang Guotao, Yang Rui, Zhang Lihong
doaj   +1 more source

Strong Comparison Principle for the Fractional p-Laplacian and Applications to Starshaped Rings

Advanced Nonlinear Studies, 2018
In the following, we show the strong comparison principle for the fractional p-Laplacian, i.e.
Jarohs Sven
doaj   +1 more source

Classical Lie symmetries and reductions of a nonisospectral Lax pair

, 2011
The classical Lie method is applied to a nonisospectral problem associated with a system of partial differential equations in 2+1 dimensions (Maccari A, J. Math. Phys. 39, (1998), 6547-6551).
Ablowitz M. J., Calogero F., Estévez P. G., Estévez P. G., Estévez P. G., Hirota R., Legaré M., Maccari A., Olver P. J., Painlevé P., Weiss J.   +10 more
core   +1 more source

Nontrivial solutions for resonance quasilinear elliptic systems

Advances in Nonlinear Analysis
We establish an Amann-Zehnder-type result for resonance systems of quasilinear elliptic equations with homogeneous Dirichlet boundary conditions, involving nonlinearities growing asymptotically (p,q)\left(p,q)-linear at infinity.
Borgia Natalino, Cingolani Silvia, Vannella Giuseppina   +2 more
doaj   +1 more source