[PDF] Top 20 On a fourth order elliptic equation with supercritical exponent
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On a fourth order elliptic equation with supercritical exponent
... Ould Bouh Advances in Difference Equations 2014, 2014 319 http //www advancesindifferenceequations com/content/2014/1/319 R ES EARCH Open Access On a fourth order elliptic equation with supercritical[.] ... See full document
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On the Sets of Regularity of Solutions for a Class of Degenerate Nonlinear Elliptic Fourth-Order Equations with Data
... high-order equation with degenerate nonlinear operator satisfy- ing a strengthened ellipticity condition, regularity of solutions was studied in [4, 5] (non- degenerate case) and in [6, 7] (degenerate ... See full document
15
Fourth order elliptic system with dirichlet boundary condition
... single fourth order elliptic equations with nonlinearities of this type arises in the study of travelling waves in a sus- pension bridge ([6]) or the study of the static deflection of an elastic ... See full document
9
High energy solutions for the fourth-order elliptic equations in RN
... the fourth-order elliptic equations are based on boundness of ⊂ R N ...the fourth-order elliptic equa- tions in the whole space R N ...ing fourth-order ... See full document
11
The Basic (G'/G) Expansion Method for the Fourth Order Boussinesq Equation
... weierstrass elliptic function method [8], the ho- mogeneous balance method [9], the Jacobi elliptic fun- ction expansion method [10-13], the generalized Riccati equation method [14], the tanh-coth ... See full document
9
Existence and multiplicity of solutions for a fourth-order elliptic equation
... 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
9
Existence and multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type via genus theory
... potential V (x), which was firstly introduced in [] and is used to overcome the lack of compactness of embedding of the working space. In other words, under the weaker con- dition (V), the Sobolev embedding is not ... See full document
12
Multiple solutions for a fourth-order nonlinear elliptic problem which is superlinear at +∞ and linear at −∞
... Magalhães [], de Paiva [], Schechter [] and the references therein. Equations with non- linearities which are superlinear in one direction and linear in the other were investigated by Arcoya and Villegas [] and ... See full document
12
A fourth-order elliptic Riemann type problem in \(\mathbb{R}^{3}\)
... elliptic equation and construct the explicit expressions of higher-order kernel ...the fourth-order elliptic equations in Clifford analysis are ...the fourth-order ... See full document
19
Infinitely many solutions for a class of fourth-order partially sublinear elliptic problem
... ied the existence of multiple and sign-changing solutions for a class of biharmonic equa- tions in an unbounded domain by the minimax method and linking theorem. In , Liu and Chen (see []) investigated the existence ... See full document
8
Maximum principles for fourth order semilinear elliptic boundary value problems
... for fourth order differential equations [1, 2, ...of fourth order semilinear elliptic equations due to Schaefer [7] to a more general fourth order semilinear ... See full document
5
Young measure solutions for a fourth-order wave equation with variable growth
... In this paper, we study the existence of Young measure solutions to a fourth-order wave equation with variable exponent nonlinearity on a bounded domain. The asymptotic behavior of the Young ... See full document
23
A Maximum Principle Result for a General Fourth Order Semilinear Elliptic Equation
... ∇ − ∆ are utilized and apriori bounds on the integral of the square of the second gra- dient and on the square of the gradient of the solution are deduced. Since then, many authors [2]-[11] and refer- ences therein have ... See full document
5
High energy solutions of modified quasilinear fourth-order elliptic equation
... that fourth-order elliptic equation has been widely studied since Lazer and Mckenna [9] first proposed to study periodic oscillations and traveling waves in a suspension ... See full document
13
BRAIN COMPUTER INTERFACE BASED ROBOT DESIGN
... reactance equation used in the ...reactance equation is simulated by using Runge Kutta method of fourth order in the exponent equation with correction ... See full document
8
Fourth order elliptic boundary value problem with nonlinear term decaying at the origin
... by reducing problem (.) to the problem with bounded nonlinear term and then applying the maximum principle for the elliptic operator – and – – c two times and the moun- tain pass theorem in the critical point ... See full document
7
High-accuracy Alternating Difference Scheme for the Fourth-order Diffusion Equation
... the fourth-order diffusion equation is ...is fourth-order truncation error in space, which is much more accurate than the known ... See full document
7
Multiple solutions for the p-Laplacian problem with supercritical exponent
... It seems that great progress has been made for the subcritical and critical exponents. Naturally, the question whether there exist solutions for the supercritical case or not is in- teresting for us. However, the ... See full document
15
The global solution of anisotropic fourth order Schrödinger equation
... anisotropic nonlinear sixth order Schrödinger equation in [17]. The asymptotic behavior in time of the solution has been obtained and it scatters to a solution of the linearized equation as t → ∞ in ... See full document
17
Multiplicity of solutions for a quasilinear elliptic equation with \((p,q)\)-Laplacian and critical exponent on \(\mathbb{R}^{N}\)
... By variational methods and the concentration–compactness principle, we prove that the problem possesses infinitely many weak solutions with negative energy for λ ∈ (0, λ ∗ ).. The system [r] ... See full document
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