The positive solutions to a quasi-linear problem of fractional p-Laplacian type without the Ambrosetti–Rabinowitz condition
Sign Up to like & getrecommendations! Published in 2018 at "Positivity"
DOI: 10.1007/s11117-018-0551-z
Abstract: In this paper, we study the existence of nontrivial solution to a quasi-linear problem where $$ (-\Delta )_{p}^{s} u(x)=2\lim \nolimits _{\epsilon \rightarrow 0}\int _{\mathbb {R}^N \backslash B_{\varepsilon }(X)} \frac{|u(x)-u(y)|^{p-2} (u(x)-u(y))}{| x-y | ^{N+sp}}dy, $$(-Δ)psu(x)=2limϵ→0∫RN\Bε(X)|u(x)-u(y)|p-2(u(x)-u(y))|x-y|N+spdy,$$ x\in… read more here.
Keywords: lambda; lambda lambda; positive solutions; linear problem ... See more keywords
Linear problem of the shock wave disturbance in a non-classical case
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DOI: 10.1063/1.4984600
Abstract: A linear problem of the shock wave disturbance for a special (non-classical) case, where both pre-shock and post-shock flows are subsonic, is considered. The phase transition for the van der Waals gas is an example… read more here.
Keywords: classical case; problem shock; linear problem; problem ... See more keywords