Multiple solutions for strongly resonant Robin problems
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DOI: 10.1002/mana.201600454
Abstract: We consider nonlinear (driven by the p†Laplacian) and semilinear Robin problems with indefinite potential and strong resonance with respect to the principal eigenvalue. Using variational methods and critical groups, we prove four multiplicity theorems… read more here.
Keywords: robin; resonant robin; solutions strongly; multiple solutions ... See more keywords
Multiple Solutions for Nonvariational Quasilinear Elliptic Systems
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DOI: 10.1007/s00009-018-1133-9
Abstract: We establish the existence of at least three nontrivial solutions for a nonvariational quasilinear elliptic system with homogeneous Dirichlet boundary condition. Two of these solutions are of opposite constant sign and the third one is… read more here.
Keywords: solutions nonvariational; nonvariational quasilinear; elliptic systems; multiple solutions ... See more keywords
Existence of Multiple Solutions of a Kirchhoff Type $p$-Laplacian Equation on the Sierpiński Gasket
Sign Up to like & getrecommendations! Published in 2019 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-019-00283-z
Abstract: In this paper, we study the following boundary value problem involving the weak $p$-Laplacian. $$ -M\bigl(\|u\|_{\mathcal{E}_{p}}^{p}\bigr)\Delta _{p} u = h(x,u) \quad \text{in}\ \mathcal{S}\setminus \mathcal{S}_{0}; \quad u = 0 \ \text{on}\ \mathcal{S}_{0}, $$ where $\mathcal{S}$ is… read more here.
Keywords: multiple solutions; kirchhoff type; existence multiple; solutions kirchhoff ... See more keywords
Multiple Solutions of Boundary-Value Problems for Hamiltonian Systems
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DOI: 10.1007/s10958-018-3847-4
Abstract: We consider two-point boundary-value problems for a Hamiltonian system of the form x′ = f(k, y), y′ = g(x, ????), where k and ???? are parameters. The numbers of solutions, both positive and oscillatory, for… read more here.
Keywords: problems hamiltonian; solutions boundary; boundary value; multiple solutions ... See more keywords
Existence of Multiple Solutions for a Class Non-uniformly Elliptic Equations with Critical Exponential Growth
Sign Up to like & getrecommendations! Published in 2018 at "Bulletin of the Iranian Mathematical Society"
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
Critical values in flow patterns of Magneto-Carreau fluid over a circular cylinder with diffusion species: Multiple solutions
Sign Up to like & getrecommendations! Published in 2017 at "Journal of The Taiwan Institute of Chemical Engineers"
DOI: 10.1016/j.jtice.2017.04.047
Abstract: Abstract Inspired by the various applications of non-Newtonian fluids, we carried out a numerical study for multiple solutions in MHD flow of Carreau viscosity model over a shrinking cylinder. This article is presumably the first… read more here.
Keywords: velocity; carreau fluid; cylinder; multiple solutions ... See more keywords
Ground state and multiple solutions for the fractional Schrödinger–Poisson system with critical Sobolev exponent
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DOI: 10.1016/j.nonrwa.2017.12.003
Abstract: Abstract In this paper, we study the following doubly singularly perturbed fractional Schrodinger–Poissonsystem with critical Sobolev exponent e 2 α ( − Δ ) α u + V ( x ) u + ϕ u… read more here.
Keywords: ground state; critical sobolev; multiple solutions; sobolev exponent ... See more keywords
Multiple solutions, oscillons and strange attractors in thermoviscoelastic marangoni convection
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DOI: 10.1063/1.5040562
Abstract: Through numerical solution of the governing time-dependent and non-linear Navier-Stokes equations cast in the framework of the Oldroyd-B model, the supercritical states of thermal Marangoni-Benard convection in a viscoelastic fluid are investigated for increasing values… read more here.
Keywords: fluid; different branches; convection; time ... See more keywords
Multiple solutions at the genomic level in response to selective breeding for high locomotor activity.
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DOI: 10.1093/genetics/iyac165
Abstract: Replicate lines under uniform selection often evolve in different ways. Previously, analyses using whole-genome sequence data for individual mice (Mus musculus) from four replicate High Runner (HR) lines and four non-selected control (C) lines demonstrated… read more here.
Keywords: genomic level; multiple solutions; solutions genomic; activity ... See more keywords
Multiple solutions of a nonlocal system with singular nonlinearities
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DOI: 10.1142/s0129167x21500725
Abstract: In this work, we study the fractional Laplacian equation with singular nonlinearity: [Formula: see text] where [Formula: see text] is a bounded domain in [Formula: see text] with smooth boundary [Formula: see text], [Formula: see… read more here.
Keywords: multiple solutions; solutions nonlocal; formula see; see text ... See more keywords
Multiple solutions for a Kirchhoff-type problem involving nonlocal fractional $p$-Laplacian and concave-convex nonlinearities
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DOI: 10.1216/rmj-2017-47-6-1803
Abstract: This paper examines a class of Kirchhoff nonlocal operators involving concave-convex nonlinearities and sign-changing weight functions. With the aid of the Nehari manifold, the existence of multiple nontrivial nonnegative solutions is obtained. read more here.
Keywords: convex nonlinearities; type problem; multiple solutions; solutions kirchhoff ... See more keywords