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Displaying 381 – 400 of 850

Monotonicity and symmetry of solutions of $p$ -Laplace equations, $1 < p < 2$ , via the moving plane method

Lucio Damascelli, Filomena Pacella (1998)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We present some monotonicity and symmetry results for positive solutions of the equation $- div ({|D u|}^{p - 2} D u) = f (u)$ satisfying an homogeneous Dirichlet boundary condition in a bounded domain $Ω$ . We assume 1 < p < 2 and $f$ locally Lipschitz continuous and we do not require any hypothesis on the critical set of the solution. In particular we get that if $Ω$ is a ball then the solutions are radially symmetric and strictly radially decreasing.

Morse theory for indefinite nonlinear elliptic problems

Kung-Ching Chang, Mei-Yue Jiang (2009)

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

Multilevel projection methods for nonlinear least-squares finite element computations.

Korsawe, Johannes, Starke, Gerhard (2000)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Multiple positive solutions for a class of quasilinear elliptic boundary-value problems.

Perera, Kanishka (2003)

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

Multiple positive solutions for a singular elliptic equation with Neumann boundary condition in two dimensions.

Kaur, Bhatia Sumit, Sreenadh, K. (2009)

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

Multiple positive solutions for quasilinear elliptic problems with sign-changing nonlinearities.

Fernández Bonder, Julián (2004)

Abstract and Applied Analysis

Multiple positive solutions for singular elliptic equations with concave-convex nonlinearities and sign-changing weights.

Hsu, Tsing-San, Lin, Huei-Li (2009)

Boundary Value Problems [electronic only]

Multiple radial solutions for a semilinear Dirichlet problem in a ball

Alfonso Castro, Jorge Cossio (1993)

Revista colombiana de matematicas

Multiple semiclassical solutions of the Schrödinger equation involving a critical Sobolev exponent.

Chabrowski, J., Yang, Jianfu (2000)

Portugaliae Mathematica

Multiple solutions for a problem with resonance involving the $p$ -Laplacian.

Alves, C.O., Carrião, P.C., Miyagaki, O.H. (1998)

Abstract and Applied Analysis

Multiple solutions for inhomogeneous nonlinear elliptic problems arising in astrophyscs.

Calahorrano, Marco, Mena, Hermann (2004)

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

Multiple solutions for quasilinear elliptic problems with nonlinear boundary conditions.

Chung, Nguyen Thanh (2008)

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

Multiple solutions for semilinear elliptic boundary value problems at resonance.

Robinson, Steve B. (1995)

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

Multiple solutions for the $p$ -Laplace equation with nonlinear boundary conditions.

Bonder, Julián Fernández (2006)

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

Multiple solutions of a Schrödinger type semilinear equation

Xiaochun Liu, Jianfu Yang (2000)

Commentationes Mathematicae Universitatis Carolinae

Two nontrivial solutions are obtained for nonhomogeneous semilinear Schrödinger equations.

Multiplicity and concentration behavior of positive solutions for a Schrödinger–Kirchhoff type problem via penalization method

Giovany M. Figueiredo, João R. Santos (2014)

ESAIM: Control, Optimisation and Calculus of Variations

In this paper we are concerned with questions of multiplicity and concentration behavior of positive solutions of the elliptic problem $(P_{}) \{\begin{matrix} ℒ_{} u = f (u) in ℝ^{3}, \\ u > 0 in ℝ^{3}, \\ u \in H^{1} (ℝ^{3}), \end{matrix}$ ( P ε ) ℒ ε u = f ( u ) in IR 3 , u > 0 in IR 3 , u ∈ H 1 ( IR 3 ) , whereε is a small positive parameter, f : ℝ → ℝ is a continuous function, $ℒ_{}$ ℒ ε is a nonlocal operator defined by $ℒ_{} u = M (\frac{1}{} \int_{ℝ^{3}} {| \nabla u |}^{2} + \frac{1}{^{3}} \int_{ℝ^{3}} V (x) u^{2}) [-^{2} Δ u + V (x) u],$ ℒ ε u = M 1 ε ∫ IR 3 | ∇ u | 2 + 1 ε 3 ∫ IR 3 V ( x ) u 2 [ − ε 2 Δ u + V ( x ) u ] ,M : IR+ → IR+ and V : IR3 → IR are continuous functions which verify some hypotheses.

Multiplicity of positive and nodal solutions for nonlinear elliptic problems in $ℝ^{N}$

Daomin Cao, Ezzat S. Noussair (1996)

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

Multiplicity of positive solutions of nonlinear elliptic equations with critical sobolev exponent in some contractible domains.

Donato Passaseo (1989)

Manuscripta mathematica

Multiplicity of positive solutions to semilinear elliptic boundary value problems.

Umezu, Kenichiro (1999)

Abstract and Applied Analysis

Multiplicity of solutions for a class of quasilinear problem in exterior domains with Neumann conditions.

Alves, Claudianor O., Carrião, Paulo C., Medeiros, Everaldo S. (2004)

Abstract and Applied Analysis

Currently displaying 381 – 400 of 850

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