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Large solutions of a semilinear elliptic equation with singular weights and nonhomogeneous term

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0 Published in 2020 at "Archiv der Mathematik"

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

Global Large Solutions to the 3-D Generalized Incompressible Navier–Stokes Equations

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1 Published in 2020 at "Bulletin of the Malaysian Mathematical Sciences Society"

DOI: 10.1007/s40840-020-01051-1

Abstract: In this paper, we prove the global well-posedness of the 3-D generalized incompressible Navier–Stokes equations in critical Besov spaces under a polynomial smallness assumption on the initial data. Moreover, we construct a class of initial… read more here.

Keywords: stokes equations; generalized incompressible; global large; incompressible navier ... See more keywords

Existence and blow-up rate of large solutions of p(x)-Laplacian equations with gradient terms

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1 Published in 2018 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2017.08.038

Abstract: Abstract In this paper we investigate boundary blow-up solutions of the problem { − Δ p ( x ) u + f ( x , u ) = ± K ( x ) | ∇… read more here.

Keywords: solutions laplacian; laplacian equations; existence blow; rate large ... See more keywords

Large solutions for a nonhomogeneous quasilinear elliptic problem

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0 Published in 2018 at "Nonlinear Analysis: Real World Applications"

DOI: 10.1016/j.nonrwa.2017.11.001

Abstract: Abstract This paper focuses on a nonhomogeneous quasilinear elliptic boundary blow up problem △ p u = a ( x ) f ( u ) + h ( x ) in Ω , u |… read more here.

Keywords: nonhomogeneous quasilinear; elliptic problem; solutions nonhomogeneous; quasilinear elliptic ... See more keywords

Global large solutions to the planar magnetohydrodynamics equations with constant heat conductivity

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0 Published in 2019 at "Boundary Value Problems"

DOI: 10.1186/s13661-019-1275-0

Abstract: This paper is concerned with global existence of large solutions to the initial-boundary value problem of the planar magnetohydrodynamic compressible flow. Under the assumptions that viscosity and heat conductivity coefficients are constants, magnetic diffusion is… read more here.

Keywords: heat conductivity; magnetohydrodynamics; global large; large solutions ... See more keywords