[PDF] Top 20 Existence and multiplicity of solutions for a fourth-order elliptic equation
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Existence and multiplicity of solutions for a fourth-order elliptic equation
... The existence and multiplicity results for Equation (1) are consid- ered in [1-3] by using variational methods and fixed point theorems in cones of ordered Banach space with space dimension is ... See full document
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EXISTENCE AND MULTIPLICITY OF WEAK SOLUTIONS FOR PERTURBED KIRCHHOFF TYPE ELLIPTIC PROBLEMS WITH HARDY POTENTIAL
... the existence of at least one solution, or multiple solutions, or even infinitely many solu- tions for fourth-order boundary value problems using lower and upper solution methods, Morse ... See full document
12
Existence and multiplicity of positive solutions for a nonlocal differential equation
... the existence of positive solutions of nonlocal BVPs (see [3-9] and references ...the existence and multiplicity of positive solutions to Equation 1 using the Krasnosel’skii ... See full document
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Existence and multiplicity of solutions for a p-Kirchhoff equation on \({\mathbb {R}}^{N}\)
... the existence of nontrivial solutions, multiplicity of solutions, ground state solutions, sign-changing so- lutions, and concentration of solutions for problem ... See full document
12
The existence and multiplicity of positive solutions for a class of nonlocal elliptic problems
... of solutions admitted subject to the vari- ations of parameters embedded in nonlinear ...the existence and multiplicity of positive solutions for the elliptic equations has been ... See full document
35
Existence and multiplicity of solutions to boundary value problems for fourth-order impulsive differential equations
... the existence and the multiplicity of solutions for an impulsive boundary value problem for fourth-order differential ...weak solutions are introduced. Then the existence ... See full document
12
Existence and multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type via genus theory
... and multiplicity solutions for a class of sublinear fourth-order elliptic equation of Kirchhoff type by using the genus properties in critical ... See full document
12
Existence and multiplicity of positive solutions for p-Laplacian elliptic equations
... p-Laplacian elliptic equation with Hardy term and Hardy-Sobolev critical exponent, where the nonlinearity is (p – 1)-sublinear near zero and (p ∗ (s) – 1)-sublinear near infinity (p ∗ (s) = p(N–s) N–p is the ... See full document
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Existence and Multiplicity of Positive Solutions to a Class of Quasilinear Elliptic Equations in
... Existence and concentration of positive solutions for P ∗ have been extensively studied in the recent years; see, for example, Ambrosetti et al. 2, 3, Cingolani and Lazzo 4, 5, Floer and Weinstein 6, Oh ... See full document
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Existence and multiplicity of solutions for a supercritical elliptic problem in unbounded cylinders
... show that p ∗ N,m is the true critical exponent for this problem. The starting point for a variational approach to this problem is the known Maz’ja’s inequality (Sobolev Spaces, 1980) which guarantees, for the q ... See full document
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Existence and multiplicity of positive solutions to a fourth-order impulsive integral boundary value problem with deviating argument
... the fourth-order ordi- nary differential equations are ...a fourth-order differential equation boundary value problem (BVP for ...by fourth-order differential equation ... See full document
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Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations
... The goal of this paper is to study a nonlinear elliptic equation in which the divergence form operator − div(a(x, ∇ u)) is involved. Such operators appear in many nonlinear dif- fusion problems, in ... See full document
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Existence,multiplicity, and nonexistence of solutions for a p-Kirchhoff elliptic equation on \(\mathbb{R}^{N}\)
... with a, λ , m > 0 and 1 < p < N. By variational methods we prove that problem (0.1) admits at least two solutions under appropriate assumptions on f (u) and h(x). The main difficulty to overcome is the lack ... See full document
19
Existence and multiplicity of solutions for a second order impulsive differential equation via variational methods
... that equation () has at least two classical solutions and infinitely many classical solutions under different ...two solutions but also have infinitely many classical ... See full document
9
Existence and multiplicity of symmetric positive solutions for nonlinear boundary-value problems with p-Laplacian operator
... To obtain the existence of symmetric positive solutions of the BVP (.)-(.), the follow- ing Leray-Schauder nonlinear alternative and Krasnoselkii fixed-point theorem are useful. Lemma . [] Let E be a ... See full document
12
Uniqueness and Parameter Dependence of Positive Solution of Fourth-Order Nonhomogeneous BVPs
... the existence and nonexistence of positive solutions to a class of third-order three-point nonhomogeneous ...the multiplicity of positive solutions for some fourth-order ... See full document
9
Symmetric solutions for singular quasilinear elliptic systems involving multiple critical Hardy-Sobolev exponents
... are the critical Hardy-Sobolev exponents, and p ∗ a = p ∗ N–p Np is the critical Sobolev expo- nent, K ∈ C() ∩ L ∞ () satisfies some symmetry conditions which will be specified later. Singular critical elliptic ... See full document
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On symmetric solutions of a critical semilinear elliptic system involving the Caffarelli Kohn Nirenberg inequality in \(\mathbb{R}^{N}\)
... the existence and multiplicity of G-symmetric solutions for ellip- tic systems, we only find some results for singular elliptic systems in [–] and when G = O( N ), several radial and ... See full document
22
Positive solution for boundary value problems with p-Laplacian in Banach spaces
... the existence, nonexistence, and multiplicity of positive solutions for the following nonlinear three- point boundary value problems of nth-order differential equations in ordered Banach ... See full document
6
High energy solutions of modified quasilinear fourth-order elliptic equation
... sign-changing. We will further study and establish the existence of infinitely many high energy solutions of (1.1) whenever λ ≥ 1, by using the fountain theorem [16, 17] or its other versions [18, 19]. To ... See full document
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