Results 11 to 20 of about 2,533 (95)
Cross-shaped and Degenerate Singularities in an Unstable Elliptic Free Boundary Problem [PDF]
, 2005 We investigate singular and degenerate behavior of solutions of the unstable free boundary problem $$\Delta u = -\chi_{\{u>0\}} .$$ First, we construct a solution that is not of class $C^{1,1}$ and whose free boundary consists of four arcs meeting in a {\
Andersson, J., Weiss, G. S.
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Quantum cosmological Friedman models with a Yang-Mills field and positive energy levels [PDF]
, 2010 We prove the existence of a spectral resolution of the Wheeler-DeWitt equation when the matter field is provided by a Yang-Mills field, with or without mass term, if the spatial geometry of the underlying spacetime is homothetic to $\R[3]$.
Claus Gerhardt +3 more
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Anisotropic problems with unbalanced growth
Advances in Nonlinear Analysis, 2020 The main purpose of this paper is to study a general class of (p, q)-type eigenvalues problems with lack of compactness. The reaction is a convex-concave nonlinearity described by power-type terms.
Alsaedi Ahmed, Ahmad Bashir
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Advances in Nonlinear Analysis, 2020 We consider a nonlinear elliptic equation driven by the (p, q)–Laplacian plus an indefinite potential. The reaction is (p − 1)–superlinear and the boundary term is parametric and concave.
Papageorgiou Nikolaos S., Zhang Youpei
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On some classes of generalized Schrödinger equations
Advances in Nonlinear Analysis, 2020 Some classes of generalized Schrödinger stationary problems are studied. Under appropriated conditions is proved the existence of at least 1 + ∑i=2m$\begin{array}{} \sum_{i=2}^{m} \end{array}$ dim Vλi pairs of nontrivial solutions if a parameter involved
Correa Leão Amanda S. S. +3 more
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Journal of Function Spaces, Volume 9, Issue 1, Page 17-40, 2011., 2011 We prove a homogenization result for monotone operators by using the method of multiscale convergence. More precisely, we study the asymptotic behavior as ε → 0 of the solutions uε of the nonlinear equation divaε(x, ∇uε) = divbε, where both aε and bε oscillate rapidly on several microscopic scales and aε satisfies certain continuity, monotonicity and
Andreas Almqvist +4 more
wiley +1 more source
Sign-Changing Solutions of Fractional 𝑝-Laplacian Problems
Advanced Nonlinear Studies, 2019 In this paper, we obtain the existence and multiplicity of sign-changing solutions of the fractional p-Laplacian problems by applying the method of invariant sets of descending flow and minimax theory.
Chang Xiaojun +2 more
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[Retracted] Nonlinear eigenvalue problems in Sobolev spaces with variable exponent
Journal of Function Spaces, Volume 4, Issue 3, Page 225-242, 2006., 2006 We study the boundary value problem −div?((|?u|p1(x)−2 + |?u|p2(x)−2)?u) = f(x, u) in O, u = 0 on ?O, where O is a smooth bounded domain in RN. We focus on the cases when f±(x, ??u) = ±(−?|u|m(x)−2u + |u|q(x)−2u), where m(x)?max??{p12(x),p(x)}
Teodora-Liliana Dinu, George Isac
wiley +1 more source
Existence results for nonlinear degenerate elliptic equations with lower order terms
Advances in Nonlinear Analysis, 2020 In this paper, we prove the existence and regularity of solutions of the homogeneous Dirichlet initial-boundary value problem for a class of degenerate elliptic equations with lower order terms. The results we obtained here, extend some existing ones of [
Zou Weilin, Li Xinxin
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A negative mass theorem for surfaces of positive genus [PDF]
, 2008 We define the "sum of squares of the wavelengths" of a Riemannian surface (M,g) to be the regularized trace of the inverse of the Laplacian. We normalize by scaling and adding a constant, to obtain a "mass", which is scale invariant and vanishes at the ...
B. Osgood +17 more
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