Results 21 to 30 of about 1,677 (103)
On the location of two blow up points on an annulus for the mean field equation [PDF]
, 2014 We consider the mean field equation on two-dimensional annular domains, and prove that if $P$ and $Q$ are two blow up points of a blowing-up solution sequence of the equation, then we must have $P=-Q$.Comment: To appear in ...
Grossi, M., Takahashi, F.
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A Variational Approach for the Neumann Problem in Some FLRW Spacetimes
Advanced Nonlinear Studies, 2019 In this paper, we study, using critical point theory for strongly indefinite functionals, the Neumann problem associated to some prescribed mean curvature problems in a FLRW spacetime with one spatial dimension.
Bereanu Cristian, Torres Pedro J.
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On a P\'olya functional for rhombi, isosceles triangles, and thinning convex sets [PDF]
, 2019 Let $\Omega$ be an open convex set in ${\mathbb R}^m$ with finite width, and let $v_{\Omega}$ be the torsion function for $\Omega$, i.e. the solution of $-\Delta v=1, v\in H_0^1(\Omega)$.
Berg, M. van den +3 more
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A finite‐dimensional reduction method for slightly supercritical elliptic problems
Abstract and Applied Analysis, Volume 2004, Issue 8, Page 683-689, 2004., 2004 We describe a finite‐dimensional reduction method to find solutions for a class of slightly supercritical elliptic problems. A suitable truncation argument allows us to work in the usual Sobolev space even in the presence of supercritical nonlinearities: we modify the supercritical term in such a way to have subcritical approximating problems; for ...
Riccardo Molle, Donato Passaseo
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A functionally-analytic method for modelling axial-symmetric flows of ideal fluid
Demonstratio Mathematica, 2019 We consider axial-symmetric stationary flows of the ideal incompressible fluid as an important case of potential solenoid fields. We use an integral expression of the Stokes flow function via the corresponding complex analytic function for solving a ...
Plaksa Sergiy A.
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An elliptic problem with critical exponent and positive Hardy potential
Abstract and Applied Analysis, Volume 2004, Issue 2, Page 91-98, 2004., 2004 We give the existence result and the vanishing order of the solution in 0 for the following equation: −Δu(x) + (μ/|x|2)u(x) = λu(x) + u2*−1(x), where x ∈ B1, μ > 0, and the potential μ/|x|2 − λ is positive in B1.
Shaowei Chen, Shujie Li
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Strictly positive solutions for one-dimensional nonlinear problems involving the p-Laplacian [PDF]
, 2013 Let $\Omega$ be a bounded open interval, and let $p>1$ and $q\in\left(0,p-1\right) $. Let $m\in L^{p^{\prime}}\left(\Omega\right) $ and $0\leq c\in L^{\infty}\left(\Omega\right) $.
Kaufmann, Uriel, Medri, Ivan
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Logistic equation with the p‐Laplacian and constant yield harvesting
Abstract and Applied Analysis, Volume 2004, Issue 9, Page 723-727, 2004., 2004 We consider the positive solutions of a quasilinear elliptic equation with p‐Laplacian, logistic‐type growth rate function, and a constant yield harvesting. We use sub‐super‐solution methods to prove the existence of a maximal positive solution when the harvesting rate is under a certain positive constant.
Shobha Oruganti +2 more
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Localization and multiplicity in the homogenization of nonlinear problems
Advances in Nonlinear Analysis, 2019 We propose a method for the localization of solutions for a class of nonlinear problems arising in the homogenization theory. The method combines concepts and results from the linear theory of PDEs, linear periodic homogenization theory, and nonlinear ...
Bunoiu Renata, Precup Radu
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Spectral gap of segments of periodic waveguides
, 2006 We consider a periodic strip in the plane and the associated quantum waveguide with Dirichlet boundary conditions. We analyse finite segments of the waveguide consisting of $L$ periodicity cells, equipped with periodic boundary conditions at the ``new ...
D. Borisov +6 more
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