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Variable Exponent Functionals in Image Restoration
variational exponent functional BV space staircasing effect heat flow
2011/10/17
We study a functional with variable exponent, 1 Keywords: variational exponent functional;BV space;staircasing effect;heat
Barrier methods for critical exponent problems in geometric analysis and mathematical physics
Nonlinear elliptic equations geometric analysis Yamabe problem general relativity
2011/8/23
Abstract: We consider the design and analysis of numerical methods for approximating positive solutions to nonlinear geometric elliptic partial differential equations containing critical exponents. Th...
The heat-balance integral method by a parabolic profile with unspecified exponent: Analysis and Benchmark Exercises
heat-balance integral method heat-conduction parabolic profile
2011/1/20
The heat-bal ance in te gral method of Good man has been thor oughly an a lyzed in the case of a par a bolic pro file with un spec i fied ex po nent de pend ing on the bound ary con di tion im posed. ...
Research Note on a Parabolic Heat-Balance Integral Method with Unspecified Exponent: An Entropy Generation Approach in Optimal Profile Determination
Research Note on a Parabolic Heat-Balance Integral Method Unspecified Exponent Entropy Generation Optimal Profile Determination
2011/1/20
The heat-bal ance in te gral method of Good man is stud ied with two sim ple 1-D heat con duc tion prob lems with pre scribed tem per a ture and flux bound ary con di tions.These clas si cal prob lems...
Solutions to nonlinear Schrödinger equations with singular electromagnetic potential and critical exponent
nonlinear Schrö dinger equations singular electromagnetic potential critical exponent
2010/12/8
We investigate existence and qualitative behaviour of solutions to nonlinear Schr¨odinger equations with critical exponent and singular electromagnetic potentials. We are concerned with with magnetic ...