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Displaying 21 – 40 of 68

Estimates of the principal eigenvalue of the $p$ -Laplacian and the $p$ -biharmonic operator

Jiří Benedikt (2015)

Mathematica Bohemica

We survey recent results concerning estimates of the principal eigenvalue of the Dirichlet $p$ -Laplacian and the Navier $p$ -biharmonic operator on a ball of radius $R$ in $ℝ^{N}$ and its asymptotics for $p$ approaching $1$ and $\infty$ . Let $p$ tend to $\infty$ . There is a critical radius $R_{C}$ of the ball such that the principal eigenvalue goes to $\infty$ for $0 < R \leq R_{C}$ and to $0$ for $R > R_{C}$ . The critical radius is $R_{C} = 1$ for any $N \in ℕ$ for the $p$ -Laplacian and $R_{C} = \sqrt{2 N}$ in the case of the $p$ -biharmonic operator. When $p$ approaches $1$ , the principal eigenvalue of the Dirichlet...

Étude de transmission à travers des inclusions minces faiblement conductrice de «codimension un» : homogénéisation et optimisation des structures

Mohammed Hnid (1990)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Existence and location of solution to some eigenvalue Dirichlet problems.

Motreanu, D. (2005)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

Existence and multiplicity of positive solutions for Dirichlet problems in unbounded domains.

Wu, Tsung-Fang (2007)

Abstract and Applied Analysis

Existence and multiplicity of solutions for a class of superlinear $p$ -Laplacian equations.

Wang, Juan, Tang, Chun-Lei (2006)

Boundary Value Problems [electronic only]

Existence and multiplicity of solutions for a differential inclusion problem involving the $p (x)$ -Laplacian.

Dai, Guowei (2010)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence and multiplicity of solutions for divergence type elliptic equations.

Zhao, Lin, Zhao, Peihao, Xie, Xiaoxia (2011)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence and multiplicity of solutions for the noncoercive Neumann $p$ -Laplacian.

Papageorgiou, Nikolaos S., Rocha, Eugenio M. (2010)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence and multiplicity of solutions to a $p$ -Laplacian equation with nonlinear boundary condition.

Pflüger, Klaus (1998)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations.

Mihăilescu, Mihai (2006)

Boundary Value Problems [electronic only]

Existence and multiplicity results for a nonlinear stationary Schrödinger equation

Danila Sandra Moschetto (2010)

Annales Polonici Mathematici

We revisit Kristály’s result on the existence of weak solutions of the Schrödinger equation of the form -Δu + a(x)u = λb(x)f(u), $x \in ℝ^{N}$ , $u \in H ¹ (ℝ^{N})$ , where λ is a positive parameter, a and b are positive functions, while $f : ℝ \to ℝ$ is sublinear at infinity and superlinear at the origin. In particular, by using Ricceri’s recent three critical points theorem, we show that, under the same hypotheses, a much more precise conclusion can be obtained.

Existence, multiplicity and profile of sign-changing clustered solutions of a semiclassical nonlinear Schrödinger equation

Teresa D'Aprile, Angela Pistoia (2009)

Annales de l'I.H.P. Analyse non linéaire

Currently displaying 21 – 40 of 68

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Displaying 21 – 40 of 68

Estimates of the principal eigenvalue of the $p$ -Laplacian and the $p$ -biharmonic operator

Étude de transmission à travers des inclusions minces faiblement conductrice de «codimension un» : homogénéisation et optimisation des structures

Existence and location of solution to some eigenvalue Dirichlet problems.

Existence and multiplicity of positive solutions for Dirichlet problems in unbounded domains.

Existence and multiplicity of solutions for a class of superlinear $p$ -Laplacian equations.

Existence and multiplicity of solutions for a differential inclusion problem involving the $p (x)$ -Laplacian.

Existence and multiplicity of solutions for divergence type elliptic equations.

Existence and multiplicity of solutions for the noncoercive Neumann $p$ -Laplacian.

Existence and multiplicity of solutions to a $p$ -Laplacian equation with nonlinear boundary condition.

Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations.

Existence and multiplicity results for a nonlinear stationary Schrödinger equation

Existence and multiplicity results for nonlinear elliptic problems in $ℝ^{N}$ with an indefinite functional.

Existence and nonexistence of positive solutions for singular $p$ -Laplacian equation in $ℝ^{N}$ .

Existence and nonexistence results for classes of singular elliptic problem.

Existence and nonexistence results for quasilinear semipositone Dirichlet problems.

Existence and regularity of positive solutions for an elliptic system.

Existence and regularity of weak solutions to the prescribed mean curvature equation for a nonparametric surface.

Existence and uniqueness of the solution of Laplace's equation from a model of magnetic recording.

Existence and uniqueness results on Single-Peaked solutions of a semilinear problem

Existence, multiplicity and profile of sign-changing clustered solutions of a semiclassical nonlinear Schrödinger equation

Currently displaying 21 – 40 of 68