Solutions to a perturbed critical semilinear equation concerning the $N$-Laplacian in $\mathbb {R}^{N}$

Elliot Tonkes

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Wu, Tsung-Fang (2007)

Abstract and Applied Analysis

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Variant of Lax--Milgram lemma for Banach spaces.

Doboş, Gheorghe (2003)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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Castro T., Rafael A. (2008)

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Multiple solutions to a nonlinear elliptic equation involving Paneitz type operators.

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On the Diophantine equation $x^{2} - k x y + y^{2} - 2^{n} = 0$

Refik Keskin, Zafer Şiar, Olcay Karaatlı (2013)

Czechoslovak Mathematical Journal

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In this study, we determine when the Diophantine equation $x^{2} - k x y + y^{2} - 2^{n} = 0$ has an infinite number of positive integer solutions $x$ and $y$ for $0 \leq n \leq 10 .$ Moreover, we give all positive integer solutions of the same equation for $0 \leq n \leq 10$ in terms of generalized Fibonacci sequence. Lastly, we formulate a conjecture related to the Diophantine equation $x^{2} - k x y + y^{2} - 2^{n} = 0$ .

Existence result for a class of nonlinear elliptic systems on punctured unbounded domains.

Colin, Fabrice (2010)

Boundary Value Problems [electronic only]

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Displaying similar documents to “Solutions to a perturbed critical semilinear equation concerning the N -Laplacian in ℝ N ”

Existence and multiplicity of positive solutions for Dirichlet problems in unbounded domains.

Variant of Lax--Milgram lemma for Banach spaces.

Nontrivial solutions for a robin problem with a nonlinear term asymptotically linear at - ∞ and superlinear at + ∞ .

On the concentration of solutions of singularly perturbed Hamiltonian systems in ℝ N .

Multiple solutions to a nonlinear elliptic equation involving Paneitz type operators.

On the Diophantine equation x 2 - k x y + y 2 - 2 n = 0

Existence result for a class of nonlinear elliptic systems on punctured unbounded domains.

Displaying similar documents to “Solutions to a perturbed critical semilinear equation concerning the $N$ -Laplacian in $ℝ^{N}$ ”

Nontrivial solutions for a robin problem with a nonlinear term asymptotically linear at $- \infty$ and superlinear at $+ \infty$ .

On the concentration of solutions of singularly perturbed Hamiltonian systems in $ℝ^{N}$ .

On the Diophantine equation $x^{2} - k x y + y^{2} - 2^{n} = 0$