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Homoclinic orbits for periodic second order Hamiltonian systems with superlinear terms
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We obtain the existence of nontrivial homoclinic orbits for nonautonomous second order Hamiltonian systems by using critical point theory under some different superlinear conditions from those previously used in Hamiltonian systems.
Haiyan Lv, Guanwei Chen
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Existence, nonexistence and multiplicity of positive solutions for singular quasilinear problems
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In the present paper we deal with a quasilinear problem involving a singular term and a parametric superlinear perturbation. We are interested in the existence, nonexistence and multiplicity of positive solutions as the parameter $\lambda>0$ varies.
Ricardo Alves
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Existence for semilinear equations on exterior domains
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper we study radial solutions of $\Delta u + K(r)f(u)= 0$ on the exterior of the ball of radius $R>0$ centered at the origin in ${\mathbb R}^{N}$ where $f$ is odd with $f0$ on $(\beta, \infty),$ and $f$ superlinear.
Joseph Iaia
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Solvability of the Solution of Superlinear Hyperbolic Dirichlet Problem
International Journal of Analysis and Applications, 2022 In this paper, we aim to study the solutions of superlinear hyperbolic problems with boundary condition of Dirichlet type where we show the existence and the uniqueness of the strong solutions for the superlinear problems by the method of energy ...
Iqbal M. Batiha
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Existence of a Positive Solution to a Nonlinear Scalar Field Equation with Zero Mass at Infinity
Advanced Nonlinear Studies, 2018 We establish the existence of a positive solution to the ...
Clapp Mónica, Maia Liliane A.
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Elucidating Photo‐Kinetic Control in Photothermal Reverse Water‐Gas Shift Reaction
Angewandte Chemie, EarlyView.Light directly regulates the rate‐determining step (RDS) in photothermal catalysis. In a Mars–van Krevelen (MvK)‐type reverse water‐gas shift (RWGS) reaction over In‐doped MoO2, light shifts the RDS from the H2‐related reduction half‐reaction to the CO2‐related oxidation half‐reaction, enhancing catalytic activity and lowering the apparent activation ...
Junchuan Sun +13 more
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On a superlinear periodic boundary value problem with vanishing Green's function
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We prove the existence of positive solutions for the boundary value problem \[ \begin{cases} y^{\prime \prime }+a(t)y=\lambda g(t)f(y),\quad 0\leq t\leq 2\pi, \\ y(0)=y(2\pi ),\quad y^{\prime }(0)=y^{\prime }(2\pi ), \end{cases} \] where $\lambda $ is ...
Dang Dinh Hai
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Electronic Journal of Qualitative Theory of Differential EquationsWe are concerned with the radial solutions of the Dirichlet problem $-\Delta u=K(|x|)f(u)$ on the exterior of the ball of radius $R>0$ centered at the origin in $\mathbb{R}^N \text{ with } N\geq 3$ where $f$ is superlinear at $\infty$ and has a ...
Narayan Aryal, Joseph Iaia
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Multiple solutions to elliptic equations on $\mathbb{R}^N$ with combined nonlinearities
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this paper, we are concerned with the multiplicity of nontrivial radial solutions for the following elliptic equation \begin{equation*} \begin{cases} - \Delta u +V(x)u = -\lambda Q(x)|u|^{q-2}u+ Q(x)f(u),\quad x\in\mathbb{R}^N,\\ u(x)\rightarrow ...
Anran Li, Chongqing Wei
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Nontrivial solutions for Klein–Gordon–Maxwell systems with sign-changing potentials
Boundary Value Problems, 2022 This paper is concerned with the nonlinear Klein–Gordon–Maxwell systems. Unlike all known results in the literature, the Schrödinger operator − Δ + V $-\Delta +V$ is allowed to be indefinite and the weaker superlinear conditions are imposed instead of ...
Xian Zhang, Chen Huang
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