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51.
Gabriele Bonanno Giovanni Molica Bisci Vicen?iu R?dulescu 《Monatshefte für Mathematik》2012,165(3-4):305-318
Under an appropriate oscillating behavior of the nonlinear term, the existence of a determined open interval of positive parameters for which an eigenvalue non-homogeneous Neumann problem admits infinitely many weak solutions that strongly converges to zero, in an appropriate Orlicz–Sobolev space, is proved. Our approach is based on variational methods. The abstract result of this paper is illustrated by a concrete case. 相似文献
52.
The aim of this paper is to establish the existence of at least one solution for a general inequality of quasi-hemivariational
type, whose solution is sought in a subset K of a real Banach space E. First, we prove the existence of solutions in the case of compact convex subsets and the case of bounded closed and convex
subsets. Finally, the case when K is the whole space is analyzed and necessary and sufficient conditions for the existence of solutions are stated. Our proofs
rely essentially on the Schauder’s fixed point theorem and a version of the KKM principle due to Ky Fan (Math Ann 266:519–537,
1984). 相似文献
53.
54.
55.
We study parametric nonlinear elliptic boundary value problems driven by the p-Laplacian with convex and concave terms. The convex term appears in the reaction and the concave in the boundary condition (source). We study the existence and nonexistence of positive solutions as the parameter λ > 0 varies. For the semilinear problem (p = 2), we prove a bifurcation type result. Finally, we show the existence of nodal (sign changing) solutions. 相似文献
56.
Acta Mathematica Sinica, English Series - In this paper, we consider an initial boundary value problem of m-Laplacian parabolic equation arising in various physical models. We tackle this problem... 相似文献
57.
We prove an existence result for a class of Dirichlet boundary value problems with discontinuous nonlinearity and involving
a Leray-Lions operator. The proof combines monotonicity methods for elliptic problems, variational inequality techniques and
basic tools related to monotone operators. Our work generalizes a result obtained in Carl [4]. 相似文献
58.
Frenţiu T Rusu AM Ponta M Anghel SD Cordos EA 《Analytical and bioanalytical chemistry》1996,355(3-4):254-255
A low to medium power radiofrequency capacitively coupled plasma is characterized as spectral source for atomic emission. The signal to background ratio and the limits of detection were determined for 19 elements as a function of the plasma torch geometry and the observation point. 相似文献
59.
We study the boundary value problem in Ω, u = 0 on ∂Ω, where Ω is a bounded domain in with smooth boundary, λ is a positive real number, and the continuous functions p
1, p
2, and q satisfy 1 < p
2(x) < q(x) < p
1(x) < N and for any . The main result of this paper establishes the existence of two positive constants λ0 and λ1 with λ0 ≤ λ1 such that any is an eigenvalue, while any is not an eigenvalue of the above problem. 相似文献
60.
Mihai Mihăilescu Gheorghe Moroşanu Vicenţiu Rădulescu 《Comptes Rendus Mathematique》2009,347(9-10):521-526
We establish sufficient conditions for the existence of solutions to a class of nonlinear eigenvalue problems involving nonhomogeneous differential operators in Orlicz–Sobolev spaces. To cite this article: M. Mih?ilescu et al., C. R. Acad. Sci. Paris, Ser. I 347 (2009). 相似文献