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We consider the following nonlinear Schrödinger equations in Rn
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In this paper, we consider the Brezis-Nirenberg problem in dimension N?4, in the supercritical case. We prove that if the exponent gets close to and if, simultaneously, the bifurcation parameter tends to zero at the appropriate rate, then there are radial solutions which behave like a superposition of bubbles, namely solutions of the form
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Zongming Guo 《Journal of Differential Equations》2007,240(2):279-323
We consider the following Cauchy problem with a singular nonlinearity
- (P)
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Jiong Qi Wu 《Journal of Differential Equations》2007,235(2):510-526
Suppose that β?0 is a constant and that is a continuous function with R+:=(0,∞). This paper investigates N-dimensional singular, quasilinear elliptic equations of the form
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Liang Zhao 《Nonlinear Analysis: Theory, Methods & Applications》2012,75(1):433-443
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Giovanni Anello 《Journal of Differential Equations》2007,234(1):80-90
In this paper we prove that if the potential has a suitable oscillating behavior in any neighborhood of the origin (respectively +∞), then under very mild conditions on the perturbation term g, for every k∈N there exists bk>0 such that
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Mark S. Ashbaugh Fritz Gesztesy Marius Mitrea Gerald Teschl 《Advances in Mathematics》2010,223(4):1372-885
We study spectral properties for HK,Ω, the Krein-von Neumann extension of the perturbed Laplacian −Δ+V defined on , where V is measurable, bounded and nonnegative, in a bounded open set Ω⊂Rn belonging to a class of nonsmooth domains which contains all convex domains, along with all domains of class C1,r, r>1/2. In particular, in the aforementioned context we establish the Weyl asymptotic formula
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We prove that for large λ>0, the boundary blow-up problem
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Layered solutions for a semilinear elliptic system in a ball 总被引:1,自引:0,他引:1
We consider the following system of Schrödinger-Poisson equations in the unit ball B1 of R3:
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Santiago Cano-Casanova 《Journal of Differential Equations》2008,244(12):3180-3203
This paper shows the existence and the uniqueness of the positive solution ?(t) of the singular boundary value problem
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Bruno De Maria 《Journal of Differential Equations》2011,250(3):1363-1385
We establish C1,γ-partial regularity of minimizers of non-autono-mous convex integral functionals of the type: , with non-standard growth conditions into the gradient variable
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Yasuhito Miyamoto 《Journal of Differential Equations》2010,249(8):1853-1870
Let (n?3) be a ball, and let f∈C3. We are concerned with the Neumann problem
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We show that for large λ>0, the “generalized” boundary value problem
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Farid Madani 《Bulletin des Sciences Mathématiques》2008,132(7):575
Let (Mn,g) be a compact riemannian manifold of dimension n?3. Under some assumptions, we prove that there exists a positive function φ solution of the Yamabe equation
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We find for small ε positive solutions to the equation
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Existence of nonnegative solutions for a class of semilinear elliptic systems with indefinite weight
J. Tyagi 《Nonlinear Analysis: Theory, Methods & Applications》2010,73(9):2882-2889
We prove the existence of nonnegative solutions to the system