Results 101 to 110 of about 292,102 (216)
Existence of standing waves for Schrodinger equations involving the fractional Laplacian
Electronic Journal of Differential Equations, 2017 We study a class of fractional Schrodinger equations of the form $$ \varepsilon^{2\alpha}(-\Delta)^\alpha u+ V(x)u = f(x,u) \quad\text{in } \mathbb{R}^N, $$ where $\varepsilon$ is a positive parameter, $0 < \alpha < 1$, $2\alpha < N$, $(-\Delta ...
Everaldo S. de Medeiros +2 more
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Variational Methods and Critical Point Theory 2013
Abstract and Applied Analysis, 2013 M. Victoria Otero-Espinar +3 more
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Multiple solutions for perturbed non-local fractional Laplacian equations
Electronic Journal of Differential Equations, 2013 In article we consider problems modeled by the non-local fractional Laplacian equation $$\displaylines{ (-\Delta)^s u=\lambda f(x,u)+\mu g(x,u) \quad\text{in } \Omega\cr u=0 \quad\text{in } \mathbb{R}^n\setminus \Omega, }$$ where $s\in (0,1)$ is ...
Massimiliano Ferrara +2 more
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Cryoscopy of Milk: Effect of Variations in the Method [PDF]
, 1966 R W Henningson
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Nontrivial solutions for noncooperative elliptic systems at resonance
Electronic Journal of Differential Equations, 2001 In this article we establish the existence of a nonzero solution for variational noncooperative elliptic systems under Dirichlet boundary conditions and a resonant condition at infinity.
Elves A. B. Silva
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A variational method for functions with positive real part [PDF]
, 1964 Kôichi Sakaguchi
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Existence and nonexistence of nontrivial solutions for Choquard type equations
Electronic Journal of Differential Equations, 2016 In this article, we consider the nonlocal problem $$ -\Delta u+u=q(x)\Big(\int_{\mathbb{R}^N}\frac{q(y)|u(y)|^p}{|x-y|^{N-\alpha}}dy \Big)|u|^{p-2}u,\quad x\in \mathbb{R}^N, $$ where $N\geq 3$, $\alpha\in (0,N)$, $\frac{N+\alpha}{N}
Tao Wang
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The lift and drag on a flat plate at low Reynolds number via variational methods [PDF]
, 1968 W. E. Olmstead, D. L. Hector
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Computational study of thin films made from the ferroelectric materials with Paul Painlevé approach and expansion and variational methods. [PDF]
Sci RepShao R +5 more
europepmc +1 more source