Existence of solution for a class of fractional Hamiltonian-type elliptic systems with exponential critical growth in R
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DOI: 10.1063/5.0174408
Abstract: In this paper, using the linking theorem and variational methods, we establish the existence of at least one positive solution for a class of fractional Hamiltonian-type elliptic systems with exponential critical growth in R. read more here.
Keywords: class fractional; elliptic systems; solution class; fractional hamiltonian ... See more keywords
The existence of nontrivial solution for a class of sublinear biharmonic equations with steep potential well
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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
Iterative solution for a class of partial differential equations in fractal spaces
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DOI: 10.2298/tsci2503821t
Abstract: A class of fractal PDE is successfully established by He's fractal derivative in a fractal space, and their variational principles are obtained by the semi-inverse method. The Fourier-Rabbani-He method and the Ritz-like method are used… read more here.
Keywords: method; solution class; iterative solution; class ... 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