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Displaying 5241 – 5260 of 11160

Nonlinear diffusion equations with perturbation terms on unbounded domains

Kurima, Shunsuke (2017)

Proceedings of Equadiff 14

This paper considers the initial-boundary value problem for the nonlinear diffusion equation with the perturbation term $u_{t} + (- Δ + 1) β (u) + G (u) = g in Ω \times (0, T)$ in an unbounded domain $Ω \subset ℝ^{N}$ with smooth bounded boundary, where $N \in ℕ$ , $T > 0$ , $β$ , is a single-valued maximal monotone function on $ℝ$ , e.g., $β (r) = {| r |}^{q - 1} r (q > 0, q \neq 1)$ and $G$ is a function on $ℝ$ which can be regarded as a Lipschitz continuous operator from ${(H^{1} (Ω))}^{*}$ to ${(H^{1} (Ω))}^{*}$ . The present work establishes existence and estimates for the above problem.

Nonlinear diffusion with jumps

Carl Graham (1992)

Annales de l'I.H.P. Probabilités et statistiques

Nonlinear eigenvalue problems

Walter Petry (1973)

Commentationes Mathematicae Universitatis Carolinae

Non-linear eigenvalue problems and bifurcations for differentiable multivalued maps

Renato Guzzardi (1985)

Annales Polonici Mathematici

Nonlinear Eigenvalue Problems with Monotonically Compact Operators. (Short Communication).

Theodore Laetsch (1975)

Aequationes mathematicae

Nonlinear eigenvalue problems with monotonically compact operators.

Theodore Laetsch (1975)

Aequationes mathematicae

Nonlinear elliptic problems with jumping nonlinearities near the first eigenvalue

Pavel Drábek (1981)

Aplikace matematiky

In this paper existence and multiplicity of solutions of the elliptic problem $ℒ u + λ_{1} u + μ u^{+} v u^{-} + g (x, u) = f$ in $Ω$ $B u = 0$ on $\partial Ω$ , are discussed provided the parameters $μ$ and $v$ are close to the first eigenvalue $_{1}$ . The sufficient conditions...

Nonlinear elliptic systems with dynamic boundary conditions.

Joachim Escher (1992)

Mathematische Zeitschrift

Nonlinear elliptic systems with exponential nonlinearities.

El Manouni, Said, Touzani, Abdelfattah (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Nonlinear equations in Hilbert space.

Lavrent'ev, I.M., Šćepanović, R. (1986)

Publications de l'Institut Mathématique. Nouvelle Série

Nonlinear equations of Urysohn's type in a Banach space

Chaitan P. Gupta (1975)

Commentationes Mathematicae Universitatis Carolinae

Nonlinear equations with linear part at resonance: Variational approach

Svatopluk Fučík (1977)

Commentationes Mathematicae Universitatis Carolinae

Nonlinear equations with noninvertible linear part

Svatopluk Fučík (1974)

Czechoslovak Mathematical Journal

Nonlinear equations with operators satisfying generalized Lipschitz conditions in scales.

Janno, J. (1999)

Zeitschrift für Analysis und ihre Anwendungen

Nonlinear ergodic theorems for a semitopological semigroup of non-Lipschitzian mappings without convexity.

Li, G., Kim, J.K. (1999)

Abstract and Applied Analysis

Nonlinear ergodic theorems for asymptotically almost nonexpansive curves in a Hilbert space.

Li, Gang, Kim, Jong Kyu (2000)

Abstract and Applied Analysis

Nonlinear essential maps of Mönch, 1-set contractive demicopmact and monotone ${(S)}_{+}$ type.

Agarwal, Ravi P., O'Regan, Donal (2001)

Journal of Applied Mathematics and Stochastic Analysis

Nonlinear evolution equations.

Lin, Chin-Yuan (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Nonlinear Evolution Equations of Soboley-Galpern Type.

Bui An Ton (1976)

Mathematische Zeitschrift

Nonlinear evolution inclusions arising from phase change models

Pierluigi Colli, Pavel Krejčí, Elisabetta Rocca, Jürgen Sprekels (2007)

Czechoslovak Mathematical Journal

The paper is devoted to the analysis of an abstract evolution inclusion with a non-invertible operator, motivated by problems arising in nonlocal phase separation modeling. Existence, uniqueness, and long-time behaviour of the solution to the related Cauchy problem are discussed in detail.

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