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We consider the following nonlinear Schrödinger equations in Rn
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Liang Zhao 《Nonlinear Analysis: Theory, Methods & Applications》2012,75(1):433-443
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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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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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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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Milena Chermisi 《Nonlinear Analysis: Theory, Methods & Applications》2010,73(3):695-703
In Rm×Rn−m, endowed with coordinates X=(x,y), we consider the PDE
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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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We prove that for large λ>0, the boundary blow-up problem
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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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We show that for large λ>0, the “generalized” boundary value problem
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T. Kolokolonikov 《Journal of Differential Equations》2008,245(4):964-993
We consider the stationary Gierer-Meinhardt system in a ball of RN:
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Norimichi Hirano 《Journal of Differential Equations》2009,247(5):1311-2003
Let N?3, 2*=2N/(N−2) and Ω⊂RN be a bounded domain with a smooth boundary ∂Ω and 0∈Ω. Our purpose in this paper is to consider the existence of solutions of Hénon equation:
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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 find for small ε positive solutions to the equation
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In this paper, we consider the following Schrödinger-Poisson system