Results 11 to 20 of about 216,697 (310)
Infinitely many solutions for semilinear nonlocal elliptic equations under noncompact settings [PDF]
, 2015 In this paper, we study a class of semilinear nonlocal elliptic equations posed on settings without compact Sobolev embedding. More precisely, we prove the existence of infinitely many solutions to the fractional Brezis-Nirenberg problems on bounded ...
Choi, Woocheol, Seok, Jinmyoung
core +3 more sources
Existence of infinitely many solutions for a nonlocal problem
AIMS Mathematics, 2020 In this paper, we deal with a class of fractional Hénon equation and by using the Lyapunov-Schmidt reduction method, under some suitable assumptions, we derive the existence of infinitely many solutions, whose energy can be made arbitrarily large ...
Jing Yang
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Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this paper, we study the existence of infinitely many solutions for an elliptic problem with the nonlinearity having an oscillatory behavior. We propose more general assumptions on the nonlinear term which improve the results occurring in the ...
Robert Stegliński
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Analysis of an elliptic system with infinitely many solutions
Advances in Nonlinear Analysis, 2017 We consider the elliptic system Δu=upvq${\Delta u\hskip-0.284528pt=\hskip-0.284528ptu^{p}v^{q}}$, Δv=urvs${\Delta v\hskip-0.284528pt=\hskip-0.284528ptu^{r}v^{s}}$ in Ω with the boundary conditions ∂u/∂η=λu${{\partial u/\partial\eta}=\lambda u}$, ∂
Cortázar Carmen +2 more
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Infinitely Many Solutions for a Robin Boundary Value Problem [PDF]
International Journal of Differential Equations, 2010 By combining the embedding arguments and the variational methods, we obtain infinitely many solutions for a class of superlinear elliptic problems with the Robin boundary value under weaker conditions.
Aixia Qian, Chong Li
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Nonlocal Conduction in a Metawire [PDF]
Advanced Materials, Volume 37, Issue 13, April 2, 2025.A 1D metawire composed of twisted copper wires is designed and realized. This metamaterial exhibits pronounced effects of nonlocal electric conduction according to Ohm's law. The current at one location not only depends on the electric field at that location but also on other locations.
Julio Andrés Iglesias Martínez +3 more
wiley +2 more sources
A construction of infinitely many solutions to the Strominger system [PDF]
Journal of Differential Geometry, 2021 17 pages, comments welcome!
Fei, Teng +2 more
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Infinitely many positive solutions of nonlinear Schrödinger equations [PDF]
Calculus of Variations and Partial Differential Equations, 2021 AbstractThe paper deals with the equation $$-\Delta u+a(x) u =|u|^{p-1}u $$ - Δ u + a ( x ) u
Molle R., Passaseo D.
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International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley +1 more source
A variational approach for mixed elliptic problems involving the p-Laplacian with two parameters
Boundary Value Problems, 2022 By exploiting an abstract critical-point result for differentiable and parametric functionals, we show the existence of infinitely many weak solutions for nonlinear elliptic equations with nonhomogeneous boundary conditions. More accurately, we determine
Armin Hadjian, Juan J. Nieto
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