Multigrid method for coupled semilinear elliptic equation
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DOI: 10.1002/mma.5543
Abstract: This paper introduces a kind of multigrid finite element method for the coupled semilinear elliptic equations. Instead of the common way of directly solving the coupled semilinear elliptic problems on some fine spaces, the presented… read more here.
Keywords: method coupled; semilinear elliptic; coupled semilinear; elliptic equation ... See more keywords
A novel domain decomposition method for coupled semilinear elliptic equation
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DOI: 10.1002/mma.7415
Abstract: This study presents a new framework to solve the coupled semilinear elliptic equation by the domain decomposition algorithm. Unlike the traditional domain decomposition algorithm, the coupled semilinear elliptic equation doesn't need to be solved directly.… read more here.
Keywords: semilinear elliptic; decomposition; elliptic equation; coupled semilinear ... See more keywords
Large solutions of a semilinear elliptic equation with singular weights and nonhomogeneous term
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DOI: 10.1007/s00013-019-01432-4
Abstract: In this paper, we shall investigate a semilinear elliptic boundary blow-up problem $$\Delta u=a(x)|u|^{p-1}u+h(x)$$ Δ u = a ( x ) | u | p - 1 u + h ( x ) in $$\Omega… read more here.
Keywords: solutions semilinear; nonhomogeneous term; semilinear elliptic; elliptic equation ... See more keywords
A type of cascadic multigrid method for coupled semilinear elliptic equations
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DOI: 10.1007/s11075-019-00690-1
Abstract: This paper is to introduce a type of cascadic multigrid method for coupled semilinear elliptic equations. Instead of solving the coupled semilinear elliptic equation on a very fine finite element space directly, the new scheme… read more here.
Keywords: cascadic multigrid; multigrid method; method coupled; coupled semilinear ... See more keywords
Periodic solutions of a semilinear elliptic equation with a fractional Laplacian
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DOI: 10.1007/s11784-016-0357-1
Abstract: We consider periodic solutions of the following problem associated with the fractional Laplacian $$(-\partial _{xx})^s u(x) + F'(u(x))=0,\quad u(x)=u(x+T),\quad \text{ in } \, \mathbb {R}, $$(-∂xx)su(x)+F′(u(x))=0,u(x)=u(x+T),inR,where $$(-\partial _{xx})^s$$(-∂xx)s denotes the usual fractional Laplace operator with… read more here.
Keywords: equation fractional; solutions semilinear; periodic solutions; fractional laplacian ... See more keywords
On the Höpf boundary lemma for singular semilinear elliptic equations
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DOI: 10.1016/j.jde.2018.10.039
Abstract: Abstract In this paper we consider positive solutions to semilinear elliptic problems with singular nonlinearity. We provide a Hopf type boundary lemma via a suitable scaling argument that allows to deal with the lack of… read more here.
Keywords: boundary lemma; equations boundary; lemma singular; semilinear elliptic ... See more keywords
Existence and multiplicity results for a semilinear elliptic problem
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DOI: 10.1016/j.jmaa.2019.03.028
Abstract: Abstract In this paper we establish sufficient conditions for an asymptotically linear elliptic boundary value problem to have at least five solutions when the range of the derivative of the nonlinearity includes at least the… read more here.
Keywords: results semilinear; elliptic problem; problem; semilinear elliptic ... See more keywords
A study of second order semilinear elliptic PDE involving measures
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DOI: 10.2298/fil1908489g
Abstract: The objective of this article is to study the boundary value problem for the general semilinear elliptic equation of second order involving L1 functions or Radon measures with finite total variation. The study investigates the… read more here.
Keywords: elliptic pde; second order; semilinear elliptic; study second ... See more keywords