WebJul 10, 2013 · 夕曲阜师范大学硕士学位论文一类非线性薛定谔方程解的存在性 摘要随着科学技术和数学基础理论的不断发展,各种各样的非线性问题日益引起 人们的广泛关注,非线性泛函分析已成为现代数学中的重要研究方向之一.而非线 性泛函分析是非线性分析中的—个重要分支,因其能很好的解释自然界 ... WebJul 6, 2005 · MR0604040 (82f:58035) [8] M. Struwe, Variational methods. Applications to nonlinear partial differential equations and Hamiltonian systems. Third edition. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics, 34. Springer-Verlag, Berlin-New York, 2000.
The Direct Methods in the Calculus of Variations
WebChapter 1 Introduction The Calculus of Variations is the mathematical discipline which studies extrema and critical points of functions F: A!R on an 1-dimensional subset Aof a (normed) function space X. One usually calls Athe admissible (function) class or the class of competitors, and Fa functional (which is short for ‘function of functions’). WebMar 10, 2024 · Objectives: In order to effectively filter out complex noise components in GNSS coordinate time series and extract effective signals, this paper constructs a denoising method based on parameteroptimized variational modal decomposition (VMD). Methods: The method uses the permutation entropy combined with mutual information as the … should shoes match belt
Variational methods for non-local operators of elliptic type
WebThis book develops a unified framework and, in finite dimension, provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, maximal monotone mappings, second-order subderivatives ... WebApr 6, 2024 · • Variational methods in global analysis and topology • Dynamical systems, symplectic geometry, periodic solutions of Hamiltonian systems • Variational methods in mathematical physics, nonlinear elasticity, crystals, asymptotic variational problems, homogenization, capillarity phenomena, free boundary problems and phase transitions WebThe Direct Methods in the Calculus of Variations In this chapter we review some basic methods for proving the existence of relative minimizers. Somewhat imprecisely we … sbi gold loan interest per month