By Vicentiu D. Radulescu,Dusan D. Repovs
Partial Differential Equations with Variable Exponents: Variational tools and Qualitative Analysis presents researchers and graduate scholars with an intensive creation to the idea of nonlinear partial differential equations (PDEs) with a variable exponent, really these of elliptic style.
The booklet offers an important variational tools for elliptic PDEs defined by means of nonhomogeneous differential operators and containing a number of power-type nonlinearities with a variable exponent. The authors supply a scientific therapy of the elemental mathematical concept and positive equipment for those periods of nonlinear elliptic equations in addition to their functions to numerous procedures coming up within the utilized sciences.
The research built within the ebook relies at the idea of a generalized or susceptible resolution. This procedure leads not just to the basic result of life and multiplicity of vulnerable strategies but in addition to a number of qualitative homes, together with spectral research, bifurcation, and asymptotic research.
The e-book examines the equations from diversified issues of view whereas utilizing the calculus of adaptations because the unifying subject. Readers will see how all of those assorted subject matters are attached to different very important components of arithmetic, together with topology, differential geometry, mathematical physics, and power theory.
Read or Download Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis (Chapman & Hall/CRC Monographs and Research Notes in Mathematics) PDF
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Additional info for Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis (Chapman & Hall/CRC Monographs and Research Notes in Mathematics) by Vicentiu D. Radulescu,Dusan D. Repovs