Results 51 to 60 of about 969 (93)
Advances in Nonlinear Analysis, 2022 This paper is concerned with existence and concentration properties of ground-state solutions to the following fractional Choquard equation with indefinite potential: (−Δ)su+V(x)u=∫RNA(εy)∣u(y)∣p∣x−y∣μdyA(εx)∣u(x)∣p−2u(x),x∈RN,{\left(-\Delta )}^{s}u+V ...
Zhang Wen, Yuan Shuai, Wen Lixi
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Energy-variational solutions for viscoelastic fluid models
Advances in Nonlinear AnalysisIn this article, we introduce the concept of energy-variational solutions for a class of nonlinear dissipative evolutionary equations, which turns out to be especially suited to treat viscoelastic fluid models.
Agosti Abramo +2 more
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Existence of multiple solutions of p-fractional Laplace operator with sign-changing weight function
Advances in Nonlinear Analysis, 2015 In this article, we study the following p-fractional Laplacian equation: (Pλ)-2∫ℝn|u(y)-u(x)|p-2(u(y)-u(x))|x-y|n+pαdy=λ|u(x)|p-2u(x)+b(x)|u(x)|β-2u(x)inΩ,u=0inℝn∖Ω,u∈Wα,p(ℝn),$ (P_{\lambda }) \quad -2\int _{\mathbb {R}^n}\frac{|u(y)-u(x)|^{p-2}(u(y)-u(x)
Goyal Sarika, Sreenadh Konijeti
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Advances in Nonlinear Analysis, 2015 In this paper we are concerned with the existence of infinitely-many solutions for fractional Hamiltonian systems of the form tD∞α(-∞Dtαu(t))+L(t)u(t)=∇W(t,u(t))${\,}_tD^{\alpha }_{\infty }(_{-\infty }D^{\alpha }_{t}u(t))+L(t)u(t)=\nabla W(t,u(t ...
Zhang Ziheng, Yuan Rong
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On the Fractional NLS Equation and the Effects of the Potential Well’s Topology
Advanced Nonlinear Studies, 2021 In this paper we consider the fractional nonlinear Schrödinger ...
Cingolani Silvia, Gallo Marco
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Nonlinear equations involving the square root of the Laplacian
, 2018 In this paper we discuss the existence and non-existence of weak solutions to parametric fractional equations involving the square root of the Laplacian $A_{1/2}$ in a smooth bounded domain $\Omega\subset \mathbb{R}^n$ ($n\geq 2$) and with zero Dirichlet
Ambrosio, Vincenzo +2 more
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Advanced Nonlinear StudiesIn 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 +2 more
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A result of instability for two-temperatures Cosserat bodies
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In our study we consider a generalized thermoelasticity theory based on a heat conduction equation in micropolar bodies. Specifically, the heat conduction depends on two distinct temperatures, the conductive temperature and the thermodynamic temperature.
Marin M., Vlase S., Fudulu I.M.
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A Functional Analytic Perspective to the div-curl Lemma [PDF]
, 2017 We present an abstract functional analytic formulation of the celebrated $\dive$-$\curl$ lemma found by F.~Murat and L.~Tartar. The viewpoint in this note relies on sequences for operators in Hilbert spaces.
Waurick, Marcus
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Existence of solutions for a nonlinear problem at resonance
Demonstratio Mathematica, 2022 In this work, we are interested at the existence of nontrivial solutions for a nonlinear elliptic problem with resonance part and nonlinear boundary conditions. Our approach is variational and is based on the well-known Landesman-Laser-type conditions.
Haddaoui Mustapha +3 more
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