Results 231 to 240 of about 31,354 (258)
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2012
In Chap. 8, we introduce some results on sign-changing solutions of elliptic and p-Laplacian, including using Nehri manifold, invariant sets of descent flows, Morse theory, etc.
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In Chap. 8, we introduce some results on sign-changing solutions of elliptic and p-Laplacian, including using Nehri manifold, invariant sets of descent flows, Morse theory, etc.
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An existence result for sign-changing solutions of the Brézis–Nirenberg problem
Applied Mathematics Letters, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tieshan He +3 more
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New Linking Theorem and Sign-Changing Solutions
Communications in Partial Differential Equations, 2005Abstract In this paper, we study the existence of sign-changing solutions for nonlinear elliptic equations via linking methods. A general liking type theorem is given with the location of the critical point produced specified in terms of the cone structure of the space.
M. Schechter, Z.-Q. Wang, W. Zou
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Sign-Changing Solutions for a Class of Nonlinear Elliptic Problems*
Chinese Annals of Mathematics, Series B, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Sign Changing Solutions of Superlinear Schrödinger Equations
Communications in Partial Differential Equations, 2005Abstract We prove the existence of sign changing solutions in H 1(ℝ N ) for a stationary Schrodinger equation −Δu + a(x)u = f(x, u) with superlinear and subcritical nonlinearity f, and control the number of nodal domains. If f is odd we obtain an unbounded sequence of sign changing solutions u k , k ≥ 1, so that u k has at most k + 1 nodal domains. The
Thomas Bartsch, Zhaoli Liu, Tobias Weth
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Sign-changing solutions of nonlinear elliptic equations
Frontiers of Mathematics in China, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Zhaoli, Wang, Zhi-Qiang
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A perturbation method for multiple sign-changing solutions
Calculus of Variations and Partial Differential Equations, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hirano, N., Zou, W.
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Curves of sign-changing solutions for semilinear equations
Nonlinear Analysis: Theory, Methods & Applications, 2002Positive and sign-changing solution curves for the Dirichlet problem: \[ \Delta u+\lambda f(u)=0\quad\text{ for}\,\, | x| 0\), are studied. Under the condition \(f(u)/u\to\infty\) as \(u\to\infty\), an asymptotic shape of positive solutions to (1) is found for large \(\lambda\).
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A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms
Journal of Differential Equations, 2003Daomin Cao, Shuangjie Peng
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