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[PDF] Top 20 A fourth-order elliptic Riemann type problem in \(\mathbb{R}^{3}\)

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A fourth-order elliptic Riemann type problem in \(\mathbb{R}^{3}\)

A fourth-order elliptic Riemann type problem in \(\mathbb{R}^{3}\)

... Fourth-order elliptic equations have become a very important and useful area of math- ematics over the last few decades, which is caused both by the intensive development of the theory of partial ... See full document

19

High energy solutions for the fourth-order elliptic equations in RN

High energy solutions for the fourth-order elliptic equations in RN

... arises in many applications from mathematical physics, which is usually used to describe some phenomena appearing in various physical, engineering, and other sciences. In [, ], Lazer and Mckenna firstly proposed and ... See full document

11

Fourth order elliptic operator-differential equations with unbounded operator boundary conditions in the Sobolev-type spaces

Fourth order elliptic operator-differential equations with unbounded operator boundary conditions in the Sobolev-type spaces

... The main purpose of this work is to find the conditions for regular solvability of the boundary value problem (.), (.) under some restrictions on its operator coefficients. To achieve this purpose, we use the ... See full document

14

Fourth order elliptic system with dirichlet boundary condition

Fourth order elliptic system with dirichlet boundary condition

... Î R, u + = max{u, 0} and a, b Î R are constant. The single fourth order elliptic equations with nonlinearities of this type arises in the study of travelling waves in a sus- ... See full document

9

Existence and multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type via genus theory

Existence and multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type via genus theory

... some phenomena appearing in different physical, engineering and other sciences because it is regarded as a good approximation for describing nonlinear vibrations of beams or plates (see [, ]). By using the fixed point ... See full document

12

Countable families of solutions of a limit stationary semilinear fourth-order Cahn-Hilliard-type equation I. Mountain pass and Lusternik-Schnirel’man patterns in \(\mathbb{R}^{N}\)

Countable families of solutions of a limit stationary semilinear fourth-order Cahn-Hilliard-type equation I. Mountain pass and Lusternik-Schnirel’man patterns in \(\mathbb{R}^{N}\)

... in R N , which was done previously for many fourth-order ODEs and elliptic equations; see [–] as key examples (though those equations, mainly, contain coercive operators, with ... See full document

25

Vol 3, No 2 (2012)

Vol 3, No 2 (2012)

... of fourth order elliptic equation by transforming it into a second order co-operative elliptic ...higher order elliptic equations using same ...the problem of ... See full document

10

Non-uniformly asymptotically linear fourth-order elliptic problems

Non-uniformly asymptotically linear fourth-order elliptic problems

... In the present paper, we study the problem in the case that f may be non-uniformly asymptotically linear. These new aspects with p-Laplacian were first presented by Duc and Huy in []. But they discussed asymmetric ... See full document

14

On a \(p(x)\)-biharmonic problem with Navier boundary condition

On a \(p(x)\)-biharmonic problem with Navier boundary condition

... this type of equation can describe the static from change of beam or the sport of rigid body ...some fourth order problems [18, 19]. The inter- play between the fourth-order equation ... See full document

14

MULTIPLICITY RESULTS TO A FOURTH-ORDER BOUNDARY VALUE PROBLEM FOR A STURM-LIOUVILLE TYPE EQUATION

MULTIPLICITY RESULTS TO A FOURTH-ORDER BOUNDARY VALUE PROBLEM FOR A STURM-LIOUVILLE TYPE EQUATION

... Abstract. We establish the existence of at least three distinct weak solutions for a fourth-order Sturm-Liouville type problem under appropriate hypotheses. Our main tools are based on ... See full document

12

NONLOCAL PROBLEM FOR A MIXED TYPE FOURTH-ORDER DIFFERENTIAL EQUATION WITH HILFER FRACTIONAL OPERATOR

NONLOCAL PROBLEM FOR A MIXED TYPE FOURTH-ORDER DIFFERENTIAL EQUATION WITH HILFER FRACTIONAL OPERATOR

... value problem for a fourth-order differential equation of mixed type with Hilfer operator of fractional integro-differentiation in a positive rectangular domain and with spectral parameter in ... See full document

15

High energy solutions of modified quasilinear fourth-order elliptic equation

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

Effective Solution of Riemann Problem for Fifth Order Improperly Elliptic Equation on a Rectangle

Effective Solution of Riemann Problem for Fifth Order Improperly Elliptic Equation on a Rectangle

... of elliptic problems [5]. From the unique solution of Dirichlet problem for third harmonic Equation ...Dirichlet problem may be found in [6, ... See full document

5

On an effective solution of the Riemann problem for the second order improperly elliptic equation in the rectangle

On an effective solution of the Riemann problem for the second order improperly elliptic equation in the rectangle

... of problem ()-() is con- nected with some ...for elliptic equations with real coefficients (see, for example, ...Neumann problem, because in this case we must get around difficulties connected with ... See full document

6

Multiple solutions for a fourth-order nonlinear elliptic problem

Multiple solutions for a fourth-order nonlinear elliptic problem

... of problem (1) in the non-resonance by using the mountain pass theorem and Morse ...of problem (1) under our more general conditions (H 1 ) and (H 2 ) with respect to the conditions (H 1 ) and (H 3 ) ... See full document

8

Fourth order elliptic boundary value problem with nonlinear term decaying at the origin

Fourth order elliptic boundary value problem with nonlinear term decaying at the origin

... some fourth order elliptic boundary value problem with bounded nonlinear term decaying at the ...the fourth order elliptic problem with bounded nonlinear ... See full document

7

Infinitely many solutions for a class of fourth-order partially sublinear elliptic problem

Infinitely many solutions for a class of fourth-order partially sublinear elliptic problem

... × R, ...to problem () under suitable assumptions of g(x, u) by a variant version of the mountain pass ...for problem () by us- ing the variant fountain theorem without the condition c < λ  (λ  ... See full document

8

Multiple solutions for a fourth-order nonlinear elliptic problem which is superlinear at +∞ and linear at −∞

Multiple solutions for a fourth-order nonlinear elliptic problem which is superlinear at +∞ and linear at −∞

... semilinear fourth-order elliptic equation with a right-hand side nonlinearity which exhibits an asymmetric growth at + ∞ and at – ∞ ...the problem has at least two nontrivial solutions, one of ... See full document

12

4. Non-homogeneous Kirchhoff equation on $\mathbb{R}^3$

4. Non-homogeneous Kirchhoff equation on $\mathbb{R}^3$

... and one can not directly apply the classical symmetric mountain-pass theorem [2] to prove the existence of infinitely many solutions. As far as we know, the only papers dealing with the case g(x) 6= 0 are [4, 9]. In [4], ... See full document

7

Higher order derivatives of approximation polynomials on \(\mathbb{R}\)

Higher order derivatives of approximation polynomials on \(\mathbb{R}\)

... From [], we know that Example .(), () satisfy all conditions of Definition .. Under the same condition as of Definition . we obtain an interesting theorem as follows. Theorem . ([], Theorems ., . and ... See full document

15

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