EuDML | Browse

We investigate the existence of infinitely many periodic solutions for the $p (t)$ -Laplacian Hamiltonian systems. By virtue of several auxiliary functions, we obtain a series of new super- $p^{+}$ growth and asymptotic- $p^{+}$ growth conditions. Using the minimax methods in critical point theory, some multiplicity theorems are established, which unify and generalize some known results in the literature. Meanwhile, we also present an example to illustrate our main results are new even in the case $p (t) \equiv p = 2$ .

Periodic solutions of asymptotically linear systems without symmetry

A. Salvatore (1985)

Rendiconti del Seminario Matematico della Università di Padova

Perturbations near resonance for the $p$ -Laplacian in $ℝ^{N}$ .

Ma, To Fu, Pelicer, Maurício Luciano (2002)

Abstract and Applied Analysis

Positive quasi-minima

Jan Malý (1983)

Commentationes Mathematicae Universitatis Carolinae

Positive solutions for some quasilinear elliptic equations with natural growths

Lucio Boccardo (2000)

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

We shall prove an existence result for a class of quasilinear elliptic equations with natural growth. The model problem is $\{\begin{matrix} - div ((1 + {|u|}^{r}) \nabla u) + {|u|}^{m - 2} u {|\nabla u|}^{2} = f & in Ω \\ u = 0 & su \partial Ω . \end{matrix}$

Principe du maximum local et solutions généralisées de problèmes du type hypersurfaces minimales

Alain Lichnewsky (1974)

Bulletin de la Société Mathématique de France

Problemi variazionali non lineari di tipo ellittico

Riccardo Molle (1998)

Bollettino dell'Unione Matematica Italiana

Prolongement méromorphe de la matrice de diffusion pour les problèmes à $N$ corps à longue portée

Antoine Bommier (1994)

Mémoires de la Société Mathématique de France

Properties of a quasi-uniformly monotone operator and its application to the electromagnetic $p$-$\text {curl}$ systems

Chang-Ho Song, Yong-Gon Ri, Cholmin Sin (2022)

Applications of Mathematics

In this paper we propose a new concept of quasi-uniform monotonicity weaker than the uniform monotonicity which has been developed in the study of nonlinear operator equation $Au=b$. We prove that if $A$ is a quasi-uniformly monotone and hemi-continuous operator, then $A^{-1}$ is strictly monotone, bounded and continuous, and thus the Galerkin approximations converge. Also we show an application of a quasi-uniformly monotone and hemi-continuous operator to the proof of the well-posedness and convergence...

Quasiconvex functions and null Lagrangians in the stability problems of classes of mappings.

Egorov, A.A. (2008)

Sibirskij Matematicheskij Zhurnal

Quasilinear elliptic eigenvalue problems.

Michael Struwe (1983)

Commentarii mathematici Helvetici

Quasilinear problems with singularities.

Satyanad Kichenassamy (1986/1987)

Manuscripta mathematica

Radial minimizers of a Ginzburg-Landau functional.

Lei, Yutian, Wu, Zhuoqun, Yuan, Hongjun (1999)

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

Regularity of Lipschitz free boundaries for the thin one-phase problem

Daniela De Silva, Ovidiu Savin (2015)

Journal of the European Mathematical Society

We study regularity properties of the free boundary for the thin one-phase problem which consists of minimizing the energy functional $E (u, Ω) = \int_{Ω} {| \nabla u |}^{2} d X + ℋ^{n} ({u > 0} \cap {x_{n + 1} = 0}), Ω \subset ℝ^{n + 1},$ among all functions $u \geq 0$ which are fixed on $\partial Ω$ .

Relaxation for Dirichlet problems involving a Dirichlet form.

Biroli, M., Tchou, N. (2000)

Zeitschrift für Analysis und ihre Anwendungen

Remarks on Parameter Identification. I.

R. Guenther, R. Hudspeth, W. McDougal (1985)

Numerische Mathematik

Currently displaying 161 – 180 of 253

Previous Page 9 Next