Results 41 to 50 of about 761 (87)
Symmetry in variational principles and applications [PDF]
We formulate symmetric versions of classical variational principles. Within the framework of non-smooth critical point theory, we detect Palais-Smale sequences with additional second order and symmetry information. We discuss applications to PDEs, fixed point theory and geometric analysis.
arxiv +1 more source
Özet: Rijit yarı-düzlem üzerine oturmuş öngerilmeli şerit plağın zorlanmış titreşim probleminin üç boyutlu doğrusallaştırılmış elastodinamik teorisi çerçevesinde matematik formülasyonu verilmiştir.
Mustafa ERÖZ
doaj
On the Fractional NLS Equation and the Effects of the Potential Well’s Topology
In this paper we consider the fractional nonlinear Schrödinger ...
Cingolani Silvia, Gallo Marco
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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+2 more
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Local versus nonlocal elliptic equations: short-long range field interactions
In this paper we study a class of one-parameter family of elliptic equations which combines local and nonlocal operators, namely the Laplacian and the fractional Laplacian.
Cassani Daniele+2 more
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Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb{R}^N$ [PDF]
We construct solutions to a class of Schr\"{o}dinger equations involving the fractional laplacian. Our approach is variational in nature, and based on minimization on the Nehari manifold.
arxiv +1 more source
Periodic solutions for a coupled system of wave equations with x-dependent coefficients
This paper is concerned with the periodic solutions for a coupled system of wave equations with x-dependent coefficients. Such a model arises naturally when two waves propagate simultaneously in the nonisotrpic media.
Deng Jiayu, Ji Shuguan
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Multiple solutions for critical Choquard-Kirchhoff type equations
In this article, we investigate multiplicity results for Choquard-Kirchhoff type equations, with Hardy-Littlewood-Sobolev critical exponents,
Liang Sihua+2 more
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Normalized solutions of Kirchhoff equations with Hartree-type nonlinearity
In the present paper, we prove the existence of the solutions (λ, u) ∈ ℝ × H1(ℝ3) to the following Kirchhoff equations with the Hartree-type nonlinearity under the general mass supercritical settings, {-(a+b∫ℝ3|∇u|2dx)Δu-λu=[Iα*(K(x)F(u))]K(x)f(u),u∈H1 ...
Yuan Shuai, Gao Yuning
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Solvability of Parametric Elliptic Systems with Variable Exponents
In this paper, we study the solvability to the left of the positive infimum of all eigenvalues for some non-resonant quasilinear elliptic problems involving variable exponents.
Ouannasser Anass+1 more
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