[PDF] Top 20 Existence of multiple solutions for fractional p-Kirchhoff equations with concave-convex nonlinearities
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Existence of multiple solutions for fractional p-Kirchhoff equations with concave-convex nonlinearities
... case p = of this system, there are many results avail- able in the existing literature, we refer the interested reader to [, ] for the case of the classical Laplacian and to [–] for the case of the ... See full document
12
Multiplicity result for a critical elliptic system with concave-convex nonlinearities
... the existence of multiple solutions of a strongly indefinite elliptic system involving the critical Sobolev exponent and concave-convex ...the existence of infinitely many small ... See full document
10
Multiple solutions for the fractional differential equation with concave convex nonlinearities and sign changing weight functions
... right fractional derivatives, the critical point theory can be ...the existence of solutions of the fractional boundary value problems (FBVPs for short) by use of the variational method ... See full document
12
Multiple Solutions for a Class of Concave Convex Quasilinear Elliptic Systems with Nonlinear Boundary Condition
... to concave-convex nonlinearities, i.e., 1 q p , including nonlinear boundary ...the existence of at least two nontrivial nonnega- tive solutions for problems ... See full document
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Multiple solutions for quasilinear elliptic problems with concave-convex nonlinearities in Orlicz–Sobolev spaces
... established existence results. Papageorgiou and Rocha [10] considered a p-Laplacian problem with nonlinearities of the form m(x)|u| r–2 u + f (x, u) with 1 < r < p < ∞ when f is ... See full document
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Multiple Positive Solutions for a Quasilinear Elliptic System Involving Concave Convex Nonlinearities and Sign Changing Weight Functions
... the p-Laplacian operator, 1 ≤ q < p < N,α, β > 1 satisfy p < α β ≤ p ∗ , and f, g, h are continuous functions on Ω which are somewhere positive but which may change sign on ...the ... See full document
22
Multiplicity of positive solutions for Kirchhoff type problem involving critical exponent and sign-changing weight functions
... many solutions by using the local minimum methods and the fountain ...the existence of positive solutions of the Kirchhoff type problem has been studied ...with concave and convex ... See full document
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Multiple positive solutions for a class of quasi-linear elliptic equations involving concave-convex nonlinearities and Hardy terms
... Remark 1.6 In this remark, we consider that Ω is a bounded domain. In [11], Wang et al. considered (1.1) with μ < μ, ¯ l >0 and 1 < q < p < p 2 <N. As 0 ≤ μ < μand ¯ 1 w<q ... See full document
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Multiple Positive Solutions for Singular Elliptic Equations with Concave-Convex Nonlinearities and Sign-Changing Weights
... < p, and f, g : Ω → R are continuous functions which are somewhere positive but which may change sign on ...that p is a critical Sobolev exponent, that is, p 2 ∗ 2N/N − ...Ω, P μ,λf,g has ... See full document
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Positive solutions for P Laplace problems with nonlinear time fractional differential equation
... the existence of positive solutions for P-Laplace semi-linear elliptic equations and the corresponding time-fractional ...positive solutions for nonlinear elliptic ... See full document
22
Multiple sign-changing solutions for nonlinear fractional Kirchhoff equations
... different nonlinearities, many important results have been obtained for ...the existence and nonexistence of solutions, ground state solutions, semiclassical state solutions, positive ... See full document
21
On semilinear biharmonic equations with concave-convex nonlinearities involving weight functions
... < p = N N + – , the authors studied the value of , the supremum of the set λ, related to the existence and multiplicity of positive solutions and established uniform lower bounds for ... See full document
15
Multiple homoclinic solutions for p-Laplacian Hamiltonian systems with concave–convex nonlinearities
... the p- Laplacian. The existence and multiplicity of homoclinic orbits for the p-Laplacian Hamil- tonian system were studied in recent papers [5–7, 10, 12, 13, 19, 20, 22] and the references ... See full document
15
Multiple positive solutions of semilinear elliptic equations involving concave and convex nonlinearities in ℝN
... have been studied by Ambrosetti et al. [1] (h ≡ 1, and 1 <q < 2 <p ≤ 2* = 2N/(N- 2)) and Wu [2]h ∈ C( ¯ ) and changes sign, 1 <q < 2 <p < 2*). They proved that this equa- tion has at ... See full document
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EXISTENCE AND MULTIPLE POSITIVE SOLUTIONS TO SYSTEMS OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
... and fractional differentiation. At the first stage, fractional calculus theory is mainly focused on pure mathematical ...decades, fractional differential equations and fractional ... See full document
12
Existence of nontrivial weak solutions for p-biharmonic Kirchhoff-type equations
... the existence of weak solutions for the elliptic problem of Kirchhoff type in recent years (see, ...the p-biharmonic and generalized p-Laplacian of Kirchhoff ... See full document
17
On the existence of solutions for nonhomogeneous Schrödinger-Poisson system
... The existence of radially symmetric solutions is obtained for above nonhomogeneous system in ...two solutions for the nonhomogeneous system with f (x, u) satisfying Amborosetti-Rabinowitz type ... See full document
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Existence of Solutions for Some p(x) polyharmonic Elliptic Kirchhoff Equations
... There has been an increasing interest in studying equations involving p ( x )-Laplace operators over the last few decades. Motivated by theoretical re- search in the regularizing effect of the interaction ... See full document
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Multiple Solutions to the Problem of Kirchhoff Type Involving the Critical Caffareli Kohn Niremberg Exponent, Concave Term and Sign Changing Weights
... the existence of at least four distinct solutions to an Kirchhoff type problems involving the critical Caffareli-Kohn-Niremberg ex- ponent, concave term and sign-changing weights, by using the ... See full document
12
Existence of solutions for quasilinear elliptic equations with superlinear nonlinearities
... nonlinearities for a quasilinear elliptic boundary value problem in a domain in R N is established. The proofs rely on the Galerkin method, Brouwer’s theorem and a new weighted compact Sobolev-type embedding ... See full document
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