Existence Results for Nonlinear Mono-energetic Singular Transport Equations: $$L_1$$L1-Spaces
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DOI: 10.1007/s00009-018-1282-x
Abstract: We prove some results regarding the existence of solutions on $$L^1$$L1-spaces to a nonlinear mono-energetic singular transport equation (i.e., transport equation with unbounded collision frequency and unbounded collision operator) in slab geometry. Our approach consists… read more here.
Keywords: singular transport; mono energetic; energetic singular; transport ... See more keywords
Existence Results to a Class of Nonlinear Parabolic Systems Involving Potential and Gradient Terms
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DOI: 10.1007/s00009-020-01542-2
Abstract: In this paper, we investigate the existence of solutions to a nonlinear parabolic system, which couples a non-homogeneous reaction-diffusion-type equation and a non-homogeneous viscous Hamilton–Jacobi one. The initial data and right-hand sides satisfy suitable integrability… read more here.
Keywords: parabolic systems; results class; systems involving; class nonlinear ... See more keywords
Existence results for a class of nonlinear parabolic equations of generalized porous medium type with measure data
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DOI: 10.1007/s11587-019-00480-w
Abstract: In this paper, we study the existence of a special type of distributional solutions, the so-called “renormalized solutions” for some parabolic problems with unbounded term and general measure data. We obtain the a priori estimates… read more here.
Keywords: results class; existence; measure data; existence results ... See more keywords
Existence results for vector variational inequality problems on Hadamard manifolds
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DOI: 10.1007/s11590-020-01562-7
Abstract: In this paper, we introduce and study vector variational inequality problems (VVIP) on Hadamard manifolds. The concepts of C -pseudomonotone, v -hemicontinuous and v -coercive operators are given. Some existence results for VVIP are obtained… read more here.
Keywords: hadamard manifolds; vector variational; inequality problems; variational inequality ... See more keywords
Existence results to positive solutions of fractional BVP with $${\varvec{q}}$$q-derivatives
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DOI: 10.1007/s12190-016-1040-9
Abstract: This paper investigates the existence and uniqueness of positive and nondecreasing solution for nonlinear boundary value problem with fractional q-derivative $$\begin{aligned}&D_{q}^{\alpha }u(t)+f(t,u(t))=0, \quad {0 read more here.
Keywords: fractional bvp; solutions fractional; results positive; positive solutions ... See more keywords
Existence results for $$(n-1,1)$$(n-1,1)-type nonlocal integral boundary value problems for coupled systems of fractional differential equations at resonance
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DOI: 10.1007/s12190-016-1075-y
Abstract: In this paper, a coupled system of $$(n-1,1)$$(n-1,1)-type nonlinear fractional differential equations with nonlocal integral boundary conditions is considered. The existence of solutions is obtained by means of the coincidence degree theory due to Mawhin. read more here.
Keywords: nonlocal integral; integral boundary; fractional differential; differential equations ... See more keywords
Existence results for nonlinear fractional differential equations in C[0, T)
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DOI: 10.1007/s12190-017-1094-3
Abstract: In this paper, we investigate the existence results for fractional differential equations of the form 0.1$$\begin{aligned} {\left\{ \begin{array}{ll} D_{c}^{q}x(t)=f(t,x(t)) \quad t\in [0, T)\left( 0 read more here.
Keywords: array; existence; end; fractional differential ... See more keywords
Existence and non-existence results for fractional Kirchhoff Laplacian problems
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DOI: 10.1007/s13324-020-00435-7
Abstract: In this paper, we study the following fractional Kirchhoff-type problem: $$\begin{aligned} \left[ a+b\Big (\iint _{{\mathbb {R}}^{2N}} \frac{|u(x)-u(y)|^2}{|x-y|^{N+2s}}dx dy \Big )^{\theta -1}\right] (-\Delta )^s u= & {} |u|^{2^*_s- 2} u\\&\quad + \lambda f(x) |u|^{q-2}u, ~ in… read more here.
Keywords: fractional kirchhoff; existence non; existence; existence results ... See more keywords
Existence results for a class of nonlocal problems involving the -Laplace operator
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DOI: 10.1080/17476933.2017.1282950
Abstract: Abstract This paper is concerned with the existence of solutions to a class of -Kirchhoff-type equations with Dirichlet boundary condition of the form: By means of variational methods and the theory of the variable exponent… read more here.
Keywords: results class; class; class nonlocal; problems involving ... See more keywords
Existence results for Steklov problem involving the p(x)-Laplace operator
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DOI: 10.1080/17476933.2017.1403425
Abstract: Abstract In this paper we study the following non-linear Steklov boundary-value problem where is a bounded smooth domain, is a positive parameter, with ess , and is the outer unit normal to . Using the… read more here.
Keywords: existence; problem involving; results steklov; existence results ... See more keywords
Existence results for an anisotropic nonlocal problem involving critical and discontinuous nonlinearities
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DOI: 10.1080/17476933.2020.1743982
Abstract: ABSTRACT In this paper, we are interested in the existence of solutions to the anisotropic nonlocal problem where Ω is a smooth bounded domain of , , or and , are parameters where is a… read more here.
Keywords: results anisotropic; anisotropic nonlocal; existence results; nonlocal problem ... See more keywords