Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy-Sobolev exponent and singular nonlinearity. [PDF]
Shen L.
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Multiplicity and asymptotic behavior of solutions to a class of Kirchhoff-type equations involving the fractional p-Laplacian. [PDF]
Shen L.
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Inverse localization of earliest cardiac activation sites from activation maps based on the viscous Eikonal equation. [PDF]
Kunisch K, Neic A, Plank G, Trautmann P.
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Existence of nontrivial weak solutions for a quasilinear Choquard equation. [PDF]
Lee J, Kim JM, Bae JH, Park K.
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Global Branch of Solutions for Non-Linear Schrödinger Equations with Deepening Potential Well [PDF]
We consider the stationary non-linear Schrödinger equation Δu+{ 1+λg(x) }u=f(u)with u∈H1RN,u ≠0 where λ > 0 and the functions f and g are such that lims→0f(s)s ...
Zhou, Huan-Song, Stuart, C. A.
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A discontinuous Poisson-Boltzmann equation with interfacial jump: homogenisation and residual error estimate. [PDF]
Fellner K, Kovtunenko VA.
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An unstable elliptic free boundary problem arising in solid combustion
We prove a regularity result for the unstable elliptic free boundary problem ∆u = −χ {u>0} (0.1) related to traveling waves in a problem arising in solid combustion. The maximal solution and every local minimizer of the energy are regular, that is, {u
R. Monneau, G. S. Weiss
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On Weak Residual Error Estimation *
. A general framework for weak residual error estimators applying to various types of boundary value problems in connection with finite element and finite volume approximations is developed.
Jinn-liang Liu
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Existence of nontrival <i>n</i>-harmonic maps via min-max methods. [PDF]
Martino D, Mazowiecka K, Schikorra A.
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Curvature estimates and stability properties of CMC-submanifolds in space forms
In this survey paper, we review several results connecting geometric properties (compactness, finiteness of the Morse index, caracterization of stable surfaces) and curvature estimates for constant mean curvature submanifolds in simply-connected space ...
Pierre Berard, Walcy Santos
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