When does the free boundary enter into corner points of the fixed boundary?
Shahgholian, H. (2004)
Zapiski Nauchnykh Seminarov POMI
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Shahgholian, H. (2004)
Zapiski Nauchnykh Seminarov POMI
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S. Rempel, Bert-Wolfgang Schultze (1982)
Journées équations aux dérivées partielles
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Bunke, Ulrich
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The author introduces boundary conditions for Dirac operators giving selfadjoint extensions such that the Hamiltonians define elliptic operators. Using finite propagation speed methods and assuming bounded geometry he estimates the trace of the difference of two heat operators associated to a pair of Dirac operators coinciding on cocompact sets.
M. Greguš (1974)
Annales Polonici Mathematici
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I. E. Sharkawi (1977)
Matematički Vesnik
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Christopher C. Tisdell (2006)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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This article investigates the existence of solutions to second-order boundary value problems (BVPs) for systems of ordinary differential inclusions. The boundary conditions may involve two or more points. Some new inequalities are presented that guarantee a priori bounds on solutions to the differential inclusion under consideration. These a priori bound results are then applied, in conjunction with appropriate topological methods, to prove some new existence theorems for solutions to...
P. Ch. Tsamatos (2004)
Annales Polonici Mathematici
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We study a nonlocal boundary value problem for the equation x''(t) + f(t,x(t),x'(t)) = 0, t ∈ [0,1]. By applying fixed point theorems on appropriate cones, we prove that this boundary value problem admits positive solutions with slope in a given annulus. It is remarkable that we do not assume f≥0. Here the sign of the function f may change.
K. S. Padmanabhan, R. Parvatham (1976)
Annales Polonici Mathematici
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Józef Wenety Myjak (1973)
Annales Polonici Mathematici
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Jan Popiołek (1997)
Annales Polonici Mathematici
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We prove the existence of solutions of some boundary-value problems for partial differential equations of order higher than two. The general idea is similar to that in [1]. We make an essential use of the results of our paper [12].
Hans Wilhelm Alt, Gianni Gilardi (1982)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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