Periodic Solutions of a Class of Non-autonomous Discontinuous Second-Order Differential Equations
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DOI: 10.1007/s10883-018-9426-7
Abstract: We consider the second-order discontinuous differential equation y ″ + η sgn( y ) = 𝜃 y + α sin( β t ) where the parameters η , 𝜃 , α , and β are… read more here.
Keywords: non autonomous; class non; periodic solutions; solutions class ... See more keywords
Subharmonic solutions for a class of ordinary p-Laplacian systems∗
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DOI: 10.1007/s10986-018-9393-4
Abstract: In this paper, we study the existence of subharmonic solutions for ordinary p-Laplacian systems under a new growth condition. An existence theorem is obtained by using the generalized mountain pass theorem, which generalizes and improves… read more here.
Keywords: subharmonic solutions; solutions class; ordinary laplacian; class ordinary ... See more keywords
Maximal and minimal solutions of a class of discontinuous generalized dynamical equations with delay on time scale
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DOI: 10.1007/s11784-020-0772-1
Abstract: In this manuscript, we consider a discontinuous delay dynamical system on time scales. Time scales make the system a hybrid system which is more realistic and useful. We establish the convergence to maximal and minimal… read more here.
Keywords: class discontinuous; time scales; solutions class; time ... See more keywords
Existence of Multiple Solutions for a Class Non-uniformly Elliptic Equations with Critical Exponential Growth
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DOI: 10.1007/s41980-018-0033-x
Abstract: This paper deals with the existence and multiplicity of weak solutions to non-uniformly elliptic problem $$\begin{aligned} -\text {div}(a(x,\nabla u))+V(x)\vert u\vert ^{N-2} u=\lambda \Bigg (\exp \Bigg (\alpha \vert u\vert ^{\frac{N}{N-1}}\Bigg )+f(x,u)\Bigg ), \end{aligned}$$-div(a(x,∇u))+V(x)|u|N-2u=λ(exp(α|u|NN-1)+f(x,u)),in $$\mathbb {R}^N$$RN, where… read more here.
Keywords: solutions class; vert; uniformly elliptic; multiple solutions ... See more keywords
Asymptotic behavior of solutions to a class of non-autonomous delay differential equations
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DOI: 10.1016/j.jmaa.2016.09.001
Abstract: Abstract In this paper, we study the asymptotic behavior of solutions of a class of non-autonomous delay differential equations. These equations have important practical applications and generalize those on which Bernfeld and Haddock conjectured that… read more here.
Keywords: asymptotic behavior; class non; solutions class; non autonomous ... See more keywords
Note on nontrivial solutions for a class of p-Laplacian systems
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DOI: 10.1016/j.jmaa.2017.03.041
Abstract: Abstract We prove the existence of nonzero positive solutions of the p -Laplacian system { − Δ p u i = f i ( x , u ) in Ω , i ∈ { 1… read more here.
Keywords: nontrivial solutions; solutions class; class laplacian; note nontrivial ... See more keywords
Sign-changing and nontrivial solutions for a class of Kirchhoff-type problems
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DOI: 10.1016/j.jmaa.2019.123476
Abstract: Abstract In this paper, we study the existence of sign-changing (nodal) and nontrivial solutions for the nonlinear Kirchhoff-type equation { − ( a + b ∫ Ω | ∇ u | 2 d x )… read more here.
Keywords: nontrivial solutions; solutions class; sign changing; changing nontrivial ... See more keywords
Decay of solutions to a class of incompressible third grade fluid equations
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DOI: 10.1016/j.jmaa.2019.123678
Abstract: Abstract In this paper, we study the long time behavior of solutions to a class of the third grade fluid equations in R 3 . We first show that the solutions decay to zero if… read more here.
Keywords: grade fluid; solutions class; fluid equations; third grade ... See more keywords
Multiple positive solutions for a class of (2, p)-Laplacian equation
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DOI: 10.1063/1.5050030
Abstract: In this work, we investigate the (2, p)-Laplacian equation −Δu − Δpu = f(x, u) in Ω with the boundary condition u = 0 on ∂Ω, where Ω is a smooth bounded domain in RN,… read more here.
Keywords: solutions class; positive solutions; class laplacian; laplacian equation ... See more keywords
Existence and multiplicity of positive solutions for a class of Kirchhoff Laplacian type problems
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DOI: 10.1063/1.5082847
Abstract: This paper deals with the existence and multiplicity of positive solutions for a class of Kirchhoff Laplacian type problems in whole R3. The multiplicity of solutions is established by variational methods and Ljusternik-Schnirelmann theory. read more here.
Keywords: multiplicity; existence multiplicity; class kirchhoff; solutions class ... See more keywords
Regularity of weak solutions to a class of nonlinear problem with non-standard growth conditions
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DOI: 10.1063/5.0010026
Abstract: In this paper, we study the interior differentiability of a weak solution u ∈ Vp(x) to a nonlinear problem (1.2), which arises in electroheological fluids (ERFs) in an open bounded domain Ω⊂Rd, d = 2,… read more here.
Keywords: solutions class; nonlinear problem; weak solution; weak solutions ... See more keywords