The existence of nontrivial solution for a class of sublinear biharmonic equations with steep potential well
Sign Up to like & getrecommendations! Published in 2018 at "Boundary Value Problems"
DOI: 10.1186/s13661-018-0949-3
Abstract: AbstractIn this paper, we study the following biharmonic equation: {Δ2u−Δu+λV(x)u=α(x)f(u)+μK(x)|u|q−2uin RN,u∈H2(RN),$$ \textstyle\begin{cases} \Delta^{2}u - \Delta u + \lambda V( x)u = \alpha( x) f(u) + \mu K(x) \vert u \vert ^{q-2}u \quad\text{in } \mathbb{R}^{N},\\ u\in H^{2}(\mathbb{R}^{N}),… read more here.
Keywords: nontrivial solution; solution class; class sublinear; existence nontrivial ... See more keywords
Existence and Qualitative Properties of Solution for a Class of Nonlinear Wave Equations with Delay Term and Variable-Exponents Nonlinearities
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DOI: 10.3390/axioms12050444
Abstract: This article is devoted to a study of the question of existence (in time) of weak solutions and the derivation of qualitative properties of such solutions for the nonlinear viscoelastic wave equation with variable exponents… read more here.
Keywords: class nonlinear; existence qualitative; qualitative properties; variable exponents ... See more keywords