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 $$\Omega… read more here.
Keywords: solutions semilinear; nonhomogeneous term; semilinear elliptic; elliptic equation ... See more keywords
Periodic solutions of a semilinear elliptic equation with a fractional Laplacian
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DOI: 10.1007/s11784-016-0357-1
Abstract: We consider periodic solutions of the following problem associated with the fractional Laplacian $$(-\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
Periodic solutions of semilinear Duffing equations with impulsive effects
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DOI: 10.1016/j.jmaa.2018.07.008
Abstract: In this paper we are concerned with the existence of periodic solutions for semilinear Duffing equations with impulsive effects. Firstly for the autonomous one, basing on Poincar\'{e}-Birkhoff twist theorem, we prove the existence of infinitely… read more here.
Keywords: semilinear duffing; equations impulsive; solutions semilinear; periodic solutions ... See more keywords
Infinitely many solutions for semilinear Δλ-Laplace equations with sign-changing potential and nonlinearity
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DOI: 10.1556/012.2017.54.4.1382
Abstract: In this paper, we prove the existence of infinitely many solutions for the following class of boundary value elliptic problems { − Δ λ u+V( x )u=f( x,u ),x∈Ω, u=0,x∈∂Ω, where Ω is a bounded… read more here.
Keywords: solutions semilinear; many solutions; infinitely many; sign changing ... See more keywords