Concentrating boundary blow up solutions of a slightly subcritical Hénon type problem for all dimensions
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124494
Abstract: Abstract In this paper, we extend the result of Davila et al. [7] by constructing some concentrating boundary blow up solutions of the subcritical exponent PDE. ( P e ) : − Δ u =… read more here.
Keywords: slightly subcritical; boundary blow; solutions slightly; concentrating boundary ... See more keywords
On the blow-up of solutions for the Fornberg–Whitham equation
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Analysis: Real World Applications"
DOI: 10.1016/j.nonrwa.2018.06.004
Abstract: Abstract Wave breaking of the water wave is important and interesting to physicist and mathematician. The present article is devoted to studying wave breaking (bounded solutions with unbounded derivative) of the Fornberg–Whitham equation. By virtue… read more here.
Keywords: solutions fornberg; whitham equation; fornberg whitham; blow solutions ... See more keywords
Global existence and blow-up of solutions to a semilinear heat equation with logarithmic nonlinearity
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DOI: 10.1080/00036811.2019.1698726
Abstract: ABSTRACT In this paper, we study the initial boundary value problem of a semilinear heat equation with logarithmic nonlinearity. By using potential well method and energy method, we obtain the existence of global solutions and… read more here.
Keywords: semilinear heat; equation logarithmic; logarithmic nonlinearity; heat equation ... See more keywords
On Kiguradze’s problem on power-law asymptotic behavior of blow-up solutions to Emden–Fowler type differential equations
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DOI: 10.1515/gmj-2017-0011
Abstract: Abstract For higher-order Emden–Fowler type equations with regular nonlinearity, the asymptotic behavior of their blow-up solutions is investigated. It is proved that for weakly superlinear differential equations, all such solutions have power-law asymptotic behavior. read more here.
Keywords: asymptotic behavior; behavior blow; blow solutions; differential equations ... See more keywords
Global existence and blow-up of solutions to a semilinear heat equation with singular potential and logarithmic nonlinearity
Sign Up to like & getrecommendations! Published in 2020 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2020042
Abstract: This paper concerns with a semilinear heat equation with singular potential and logarithmic nonlinearity. By using the logarithmic Sobolev inequality and a family of potential wells, the existence of global solutions and infinite time blow-up… read more here.
Keywords: semilinear heat; heat equation; equation singular; singular potential ... See more keywords